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Finding the Third Proportional to 52,593.38 and 71,853.75

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Solution

The third proportional to 52,593.38 and 71,853.75 is: 98,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,593.38 : 71,853.75 = 71,853.75 : x
  2. Step 2: Convert to fraction form
    52,593.38/71,853.75 = 71,853.75/x
  3. Step 3: Cross multiply
    52,593.38x = 71,853.75 × 71,853.75
  4. Step 4: Simplify right side
    52,593.38x = 5,162,961,389.06
  5. Step 5: Solve for x
    x = 5,162,961,389.06/52,593.38
  6. Step 6: Final answer
    x = 98,167.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.