Final Answer:
The extremes in the proportion 96:12 = n:3 are 96 and 3.
Step-by-step explanation:
In a proportion, the extremes are the first and last terms. In this case, the given proportion is 96:12 = n:3. The first term, 96, is the antecedent of the first ratio, and the last term, 3, is the consequent of the second ratio. The extremes are essentially the values at the outer ends of the proportion.
The proportion can be read as "96 is to 12 as n is to 3." The colon (:) separates the two ratios, and the extremes are the values at the extremes or ends of these ratios. The antecedent of the first ratio corresponds to the first extreme (96), and the consequent of the second ratio corresponds to the second extreme (3).
Understanding the position of terms in a proportion is crucial for solving problems involving ratios and proportions. By identifying the extremes, one can set up equations to find unknown values, making it a fundamental concept in mathematical problem-solving related to proportions.