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Finding the Third Proportional to 36,529 and 75,865

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Solution

The third proportional to 36,529 and 75,865 is: 157,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,529 : 75,865 = 75,865 : x
  2. Step 2: Convert to fraction form
    36,529/75,865 = 75,865/x
  3. Step 3: Cross multiply
    36,529x = 75,865 × 75,865
  4. Step 4: Simplify right side
    36,529x = 5,755,498,225
  5. Step 5: Solve for x
    x = 5,755,498,225/36,529
  6. Step 6: Final answer
    x = 157,559.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.