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Finding the Third Proportional to 33,924.38 and 68,761.13

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Solution

The third proportional to 33,924.38 and 68,761.13 is: 139,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924.38 : 68,761.13 = 68,761.13 : x
  2. Step 2: Convert to fraction form
    33,924.38/68,761.13 = 68,761.13/x
  3. Step 3: Cross multiply
    33,924.38x = 68,761.13 × 68,761.13
  4. Step 4: Simplify right side
    33,924.38x = 4,728,092,311.27
  5. Step 5: Solve for x
    x = 4,728,092,311.27/33,924.38
  6. Step 6: Final answer
    x = 139,371.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.