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Finding the Third Proportional to 36,705.38 and 80,997.75

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Solution

The third proportional to 36,705.38 and 80,997.75 is: 178,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.38 : 80,997.75 = 80,997.75 : x
  2. Step 2: Convert to fraction form
    36,705.38/80,997.75 = 80,997.75/x
  3. Step 3: Cross multiply
    36,705.38x = 80,997.75 × 80,997.75
  4. Step 4: Simplify right side
    36,705.38x = 6,560,635,505.06
  5. Step 5: Solve for x
    x = 6,560,635,505.06/36,705.38
  6. Step 6: Final answer
    x = 178,737.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.