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Finding the Third Proportional to 29,380 and 62,109

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Solution

The third proportional to 29,380 and 62,109 is: 131,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380 : 62,109 = 62,109 : x
  2. Step 2: Convert to fraction form
    29,380/62,109 = 62,109/x
  3. Step 3: Cross multiply
    29,380x = 62,109 × 62,109
  4. Step 4: Simplify right side
    29,380x = 3,857,527,881
  5. Step 5: Solve for x
    x = 3,857,527,881/29,380
  6. Step 6: Final answer
    x = 131,297.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.