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Finding the Third Proportional to 29,755 and 40,801

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Solution

The third proportional to 29,755 and 40,801 is: 55,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755 : 40,801 = 40,801 : x
  2. Step 2: Convert to fraction form
    29,755/40,801 = 40,801/x
  3. Step 3: Cross multiply
    29,755x = 40,801 × 40,801
  4. Step 4: Simplify right side
    29,755x = 1,664,721,601
  5. Step 5: Solve for x
    x = 1,664,721,601/29,755
  6. Step 6: Final answer
    x = 55,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.