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Finding the Third Proportional to 38,766 and 54,593

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Solution

The third proportional to 38,766 and 54,593 is: 76,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,766 : 54,593 = 54,593 : x
  2. Step 2: Convert to fraction form
    38,766/54,593 = 54,593/x
  3. Step 3: Cross multiply
    38,766x = 54,593 × 54,593
  4. Step 4: Simplify right side
    38,766x = 2,980,395,649
  5. Step 5: Solve for x
    x = 2,980,395,649/38,766
  6. Step 6: Final answer
    x = 76,881.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.