Final answer:
To solve the proportion 5/10 = ?/100, you multiply both the numerator and the denominator of the first fraction by the same number to keep the fractions equivalent. By multiplying 5 and 10 by 10, you determine that the number that maintains the proportion is 50.
Step-by-step explanation:
To solve the proportion 5/10 = ?/100, remember that proportions mean the two fractions are equal, and whatever you do to the numerator (top number), you must do to the denominator (bottom number) to keep the fractions equivalent.
First, notice that if we multiply the denominator 10 by 10, we get 100. To balance the equation, we also have to multiply the numerator of the fraction by the same number. So, we multiply 5 by 10 and get 50.
Therefore, the number that will make the proportion 5/10 = 50/100 equal is 50.