Please advise if I did this problem correctly
Solve the proportion 32/X = 2/3.
32/X = 2/3
32 divided by 2 = 16
11 x 3 = 33
16/33
16 x 2 = 32
33 x 1 = 33
x does not = 33
To solve a proportion, you need to cross multiply and solve for the unknown.
32/x = 2/3
2x = 96
x = 96/2
x = 48
Doesn't that make sense? 32/48 = 2/3
To solve the proportion 32/X = 2/3, you need to cross-multiply and then solve for X.
When you cross-multiply, you multiply the numerator of the first fraction with the denominator of the second fraction, and vice versa.
In this case, cross-multiplying gives you:
32 * 3 = X * 2
Simplifying the equation:
96 = 2X
To isolate X, you need to divide both sides of the equation by 2:
96/2 = X
Simplifying further:
48 = X
So, the value of X that satisfies the proportion 32/X = 2/3 is X = 48.
Based on your solution steps, it seems like you made some mistakes in your calculations. Here's a corrected version:
32/X = 2/3
Cross-multiplying:
32 * 3 = X * 2
96 = 2X
Dividing both sides by 2:
96/2 = X
48 = X
Therefore, the correct solution is X = 48.