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Finding the Third Proportional to 38,757.38 and 58,136.63

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Solution

The third proportional to 38,757.38 and 58,136.63 is: 87,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,757.38 : 58,136.63 = 58,136.63 : x
  2. Step 2: Convert to fraction form
    38,757.38/58,136.63 = 58,136.63/x
  3. Step 3: Cross multiply
    38,757.38x = 58,136.63 × 58,136.63
  4. Step 4: Simplify right side
    38,757.38x = 3,379,867,166.39
  5. Step 5: Solve for x
    x = 3,379,867,166.39/38,757.38
  6. Step 6: Final answer
    x = 87,205.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.