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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

  1. Step 1: Write the proportion equation
    27,109.50 : 58,744 = 58,744 : x
  2. Step 2: Convert to fraction form
    27,109.50/58,744 = 58,744/x
  3. Step 3: Cross multiply
    27,109.50x = 58,744 × 58,744
  4. Step 4: Simplify right side
    27,109.50x = 3,450,857,536
  5. Step 5: Solve for x
    x = 3,450,857,536/27,109.50
  6. Step 6: Final answer
    x = 127,293.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.