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Finding the Third Proportional to 29,624.38 and 41,917.61

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Solution

The third proportional to 29,624.38 and 41,917.61 is: 59,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,624.38 : 41,917.61 = 41,917.61 : x
  2. Step 2: Convert to fraction form
    29,624.38/41,917.61 = 41,917.61/x
  3. Step 3: Cross multiply
    29,624.38x = 41,917.61 × 41,917.61
  4. Step 4: Simplify right side
    29,624.38x = 1,757,085,648.23
  5. Step 5: Solve for x
    x = 1,757,085,648.23/29,624.38
  6. Step 6: Final answer
    x = 59,312.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.