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Finding the Third Proportional to 20,586 and 29,149

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Solution

The third proportional to 20,586 and 29,149 is: 41,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 29,149 = 29,149 : x
  2. Step 2: Convert to fraction form
    20,586/29,149 = 29,149/x
  3. Step 3: Cross multiply
    20,586x = 29,149 × 29,149
  4. Step 4: Simplify right side
    20,586x = 849,664,201
  5. Step 5: Solve for x
    x = 849,664,201/20,586
  6. Step 6: Final answer
    x = 41,273.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.