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Finding the Third Proportional to 36,861 and 56,727

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Solution

The third proportional to 36,861 and 56,727 is: 87,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,861 : 56,727 = 56,727 : x
  2. Step 2: Convert to fraction form
    36,861/56,727 = 56,727/x
  3. Step 3: Cross multiply
    36,861x = 56,727 × 56,727
  4. Step 4: Simplify right side
    36,861x = 3,217,952,529
  5. Step 5: Solve for x
    x = 3,217,952,529/36,861
  6. Step 6: Final answer
    x = 87,299.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.