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Finding the Third Proportional to 20,067.43 and 31,139.12

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Solution

The third proportional to 20,067.43 and 31,139.12 is: 48,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.43 : 31,139.12 = 31,139.12 : x
  2. Step 2: Convert to fraction form
    20,067.43/31,139.12 = 31,139.12/x
  3. Step 3: Cross multiply
    20,067.43x = 31,139.12 × 31,139.12
  4. Step 4: Simplify right side
    20,067.43x = 969,644,862.49
  5. Step 5: Solve for x
    x = 969,644,862.49/20,067.43
  6. Step 6: Final answer
    x = 48,319.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.