On the holiest day of the year, Yom Kippur, the High Priest comes closer to G-d than at any other time, when he approaches the Ark of the Covenant, the Aron.
The text tells us that for all the things that happen that day, the priest must start with just 3 things, at the essence of the day’s events:
1: A pair of goats for the sin of the people.
2: A ram for an elevation offering
3: An ox for the sin of the priests.
While the goats and ox are to accept and admit the sins of the people (through the two goats Jacob uses to deceive his father) and the sins of Aharon (the baby ox that Aharon made as a stand-in deity for the people at Sinai), it is the ram that forms the core, the centerpiece. The ram is the most important piece of all of Yom Kippur, of the day that enables man and G-d to approach as close together as we can, and still survive.
Why the ram? What does it mean?
Obviously, the ram reminds us (and Aharon and G-d) of the ultimate offering that Avraham is prepared to make of his own son at the Akeidah (the Binding of Isaac). There are several principles we learn from this:
1: G-d occasionally wants to know that we truly prioritize Him above all else. Avraham had to be willing to sacrifice his son. And Aharon actually did lose two sons – and still chose to continue to serve G-d (as the verses remind us at the beginning of the Yom Kippur section: And the Lord spoke to Moshe after the death of the two sons of Aharon, when they came near before the Lord, and died;
G-d does not expect to make us prove this allegiance frequently: this explicit reminder of the akeidah happens once a year, and one ram suffices for the entire nation. It is the principle that matters, not the practice.
2: The entire system of sacrifice and offerings depends on the concept of giving from oneself. As with any gift, when we give something that we value, even if it is merely a token of what we might otherwise owe, then that token can pay the entire debt or obligation. This is what happened at the Akeidah: when the angel tells Avraham not to sacrifice his son, Avraham feels compelled to offer something instead.
When Abraham looked up, his eye fell upon a ram, caught in the thicket by its horns. So Abraham went and took the ram and offered it up as a burnt offering in place of his son.
So while Judaism roundly rejects human sacrifice, we embrace the idea of giving something, and a token will suffice.
And that is what is happening here: the priest brings the ram, to re-establish and confirm the principle: we connect to G-d as Avraham did, by bringing an elevation offering, continuing the Reiach Cycle wherein mankind seeks to return spiritual energy to its source.
So this section of the Torah seems to offer a template for reconciliation in any relationship:
1: Express that we recognize our errors and offenses (the ram and the ox)
2: Make it clear that we deeply care for the relationship, and that it is important to us. (the ram that connects back to the Akeidah).