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Finding the Third Proportional to 38,591 and 56,626

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Solution

The third proportional to 38,591 and 56,626 is: 83,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591 : 56,626 = 56,626 : x
  2. Step 2: Convert to fraction form
    38,591/56,626 = 56,626/x
  3. Step 3: Cross multiply
    38,591x = 56,626 × 56,626
  4. Step 4: Simplify right side
    38,591x = 3,206,503,876
  5. Step 5: Solve for x
    x = 3,206,503,876/38,591
  6. Step 6: Final answer
    x = 83,089.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.