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Finding the Third Proportional to 36,589 and 54,727

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Solution

The third proportional to 36,589 and 54,727 is: 81,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589 : 54,727 = 54,727 : x
  2. Step 2: Convert to fraction form
    36,589/54,727 = 54,727/x
  3. Step 3: Cross multiply
    36,589x = 54,727 × 54,727
  4. Step 4: Simplify right side
    36,589x = 2,995,044,529
  5. Step 5: Solve for x
    x = 2,995,044,529/36,589
  6. Step 6: Final answer
    x = 81,856.42

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Why These Related Problems?

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