Question

solve for m in the proportion.
\frac{63}{93} = \frac{42}{m}
m = \boxed{}

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{63}{93}=\frac{42}{m}\), cross - multiplying gives us \(63\times m = 93\times42\).

Step2: Calculate the right - hand side

First, calculate \(93\times42\). \(93\times42=(90 + 3)\times42=90\times42+3\times42 = 3780+126 = 3906\). So the equation becomes \(63m=3906\).

Step3: Solve for m

Divide both sides of the equation \(63m = 3906\) by 63. \(m=\frac{3906}{63}\). We can simplify this fraction: \(3906\div63 = 62\) (since \(63\times62 = 3906\)).

Answer:

\(m = 62\)