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solve the proportion. \\(\\frac{21}{12} = \\frac{42}{n}\\) (n = \\squar…

Question

solve the proportion.
\\(\frac{21}{12} = \frac{42}{n}\\)
(n = \square) (type an integer or a simplified fraction.)

Explanation:

Step1: Cross - multiply the proportion

For the proportion $\frac{21}{12}=\frac{42}{n}$, cross - multiplying gives us $21\times n = 12\times42$.

Step2: Solve for n

First, calculate the right - hand side: $12\times42 = 504$. Then we have the equation $21n=504$. Divide both sides of the equation by 21: $n=\frac{504}{21}$. Simplifying $\frac{504}{21}$, we know that $504\div21 = 24$.

Answer:

24