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Finding the Third Proportional to 39,892 and 59,067

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Solution

The third proportional to 39,892 and 59,067 is: 87,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,892 : 59,067 = 59,067 : x
  2. Step 2: Convert to fraction form
    39,892/59,067 = 59,067/x
  3. Step 3: Cross multiply
    39,892x = 59,067 × 59,067
  4. Step 4: Simplify right side
    39,892x = 3,488,910,489
  5. Step 5: Solve for x
    x = 3,488,910,489/39,892
  6. Step 6: Final answer
    x = 87,458.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.