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Finding the Third Proportional to 20,338.31 and 44,136.42

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Solution

The third proportional to 20,338.31 and 44,136.42 is: 95,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.31 : 44,136.42 = 44,136.42 : x
  2. Step 2: Convert to fraction form
    20,338.31/44,136.42 = 44,136.42/x
  3. Step 3: Cross multiply
    20,338.31x = 44,136.42 × 44,136.42
  4. Step 4: Simplify right side
    20,338.31x = 1,948,023,735.93
  5. Step 5: Solve for x
    x = 1,948,023,735.93/20,338.31
  6. Step 6: Final answer
    x = 95,780.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.