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Finding the Third Proportional to 20,371.92 and 31,480.52

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Solution

The third proportional to 20,371.92 and 31,480.52 is: 48,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371.92 : 31,480.52 = 31,480.52 : x
  2. Step 2: Convert to fraction form
    20,371.92/31,480.52 = 31,480.52/x
  3. Step 3: Cross multiply
    20,371.92x = 31,480.52 × 31,480.52
  4. Step 4: Simplify right side
    20,371.92x = 991,023,355.90
  5. Step 5: Solve for x
    x = 991,023,355.90/20,371.92
  6. Step 6: Final answer
    x = 48,646.53

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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.