Explanation:

The given number pair is $10:28$. We need to find the relationship between these two numbers and then identify an option pair that follows the same rule. Let's analyze the relationship for $10:28$. We can observe that $10 = 3^2 + 1$ and $28 = 3^3 + 1$. So, the pattern is $n^2+1 : n^3+1$, where for the given pair, $n=3$. Now, let's check the given options: A) $17:65$: If $n^2+1 = 17$, then $n^2 = 16$, which implies $n=4$. Applying the second part of the pattern, $n^3+1 = 4^3+1 = 64+1 = 65$. This matches the given pair $17:65$. B) $15:65$: If $n^2+1 = 15$, then $n^2 = 14$, which is not a perfect square. C) $12:33$: If $n^2+1 = 12$, then $n^2 = 11$, which is not a perfect square. D) $25:79$: If $n^2+1 = 25$, then $n^2 = 24$, which is not a perfect square. Therefore, the pair $17:65$ follows the same relationship.