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Finding the Third Proportional to 29,214 and 41,337

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Solution

The third proportional to 29,214 and 41,337 is: 58,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 41,337 = 41,337 : x
  2. Step 2: Convert to fraction form
    29,214/41,337 = 41,337/x
  3. Step 3: Cross multiply
    29,214x = 41,337 × 41,337
  4. Step 4: Simplify right side
    29,214x = 1,708,747,569
  5. Step 5: Solve for x
    x = 1,708,747,569/29,214
  6. Step 6: Final answer
    x = 58,490.71

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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.