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solve for t in the propor \\(\\frac{24}{t} = \\frac{56}{70}\\) \\(t = \…

Question

solve for t in the propor
\\(\frac{24}{t} = \frac{56}{70}\\)
\\(t = \square\\)
submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{24}{t}=\frac{56}{70}\), cross - multiplying gives us \(56\times t = 24\times70\).

Step2: Calculate the right - hand side

First, calculate \(24\times70 = 1680\), so the equation becomes \(56t=1680\).

Step3: Solve for \(t\)

To solve for \(t\), divide both sides of the equation \(56t = 1680\) by 56. That is \(t=\frac{1680}{56}\).
Simplifying \(\frac{1680}{56}\), we know that \(1680\div56 = 30\).

Answer:

\(30\)