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Finding the Third Proportional to 29,857 and 41,849

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Solution

The third proportional to 29,857 and 41,849 is: 58,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 41,849 = 41,849 : x
  2. Step 2: Convert to fraction form
    29,857/41,849 = 41,849/x
  3. Step 3: Cross multiply
    29,857x = 41,849 × 41,849
  4. Step 4: Simplify right side
    29,857x = 1,751,338,801
  5. Step 5: Solve for x
    x = 1,751,338,801/29,857
  6. Step 6: Final answer
    x = 58,657.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.