Find the number that makes the ratio equivalent to \( 8: 24 \).

We start with the ratio 8:24. A ratio is simply a way to compare two numbers, and if we write it as a fraction we have   8/24. This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 8:   8 ÷ 8 = 1  and  24 ÷ 8 = 3. So 8:24 simplifies to 1:3. If the problem is asking, “What number makes the ratio equivalent to 8:24?” when comparing with the ratio 1:3, then the missing number (the number paired with 1 in the ratio 1:3) must be 3. However, if it is asking, “What is the number corresponding to 8 in the ratio 8:24?” then that number is 24, because 8:24 is already an equivalent ratio. To clarify: • In the ratio 8:24, the two numbers 8 and 24 are in the ratio 1:3. • If you are looking to find the number that 8 must be compared to in order to have the same ratio as 1:3, you multiply 8 by 3:   8 × 3 = 24. Thus, the number is 24. In summary, the ratio 8:24 is already in its equivalent form, and if you need to find the number that corresponds with 8 in maintaining that ratio, it is 24.