Finding the Third Proportional to 37,748 and 83,542
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Solution
The third proportional to 37,748 and 83,542 is: 184,891.01
Step by Step Solution
- Step 1: Write the proportion equation
37,748 : 83,542 = 83,542 : x - Step 2: Convert to fraction form
37,748/83,542 = 83,542/x - Step 3: Cross multiply
37,748x = 83,542 × 83,542 - Step 4: Simplify right side
37,748x = 6,979,265,764 - Step 5: Solve for x
x = 6,979,265,764/37,748 - Step 6: Final answer
x = 184,891.01
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.