Finding the Third Proportional to 27,109.50 and 58,744
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Solution
The third proportional to 27,109.50 and 58,744 is: 127,293.29
Step by Step Solution
- Step 1: Write the proportion equation
27,109.50 : 58,744 = 58,744 : x - Step 2: Convert to fraction form
27,109.50/58,744 = 58,744/x - Step 3: Cross multiply
27,109.50x = 58,744 × 58,744 - Step 4: Simplify right side
27,109.50x = 3,450,857,536 - Step 5: Solve for x
x = 3,450,857,536/27,109.50 - Step 6: Final answer
x = 127,293.29
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.