Final answer:
To find the number that makes 8:_ equivalent to 1:3, we set up the proportion 1/3 = 8/x. After cross-multiplying and solving for x, we find that x = 24.
Step-by-step explanation:
To find the number that makes the ratio 8:_ equivalent to 1:3, we need to write a proportion by setting the two ratios equal. Since the first ratio is 1 to 3, we have:
1/3 = 8/x
Now solve for x by cross-multiplication:
1*x = 3*8
x = 24
So, the number that makes the ratio equivalent to 1:3 is 24, making the complete ratio 8:24.