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Finding the Third Proportional to 20,073.38 and 42,408

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Solution

The third proportional to 20,073.38 and 42,408 is: 89,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.38 : 42,408 = 42,408 : x
  2. Step 2: Convert to fraction form
    20,073.38/42,408 = 42,408/x
  3. Step 3: Cross multiply
    20,073.38x = 42,408 × 42,408
  4. Step 4: Simplify right side
    20,073.38x = 1,798,438,464
  5. Step 5: Solve for x
    x = 1,798,438,464/20,073.38
  6. Step 6: Final answer
    x = 89,593.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.