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Finding the Third Proportional to 29,684 and 62,680

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Solution

The third proportional to 29,684 and 62,680 is: 132,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 62,680 = 62,680 : x
  2. Step 2: Convert to fraction form
    29,684/62,680 = 62,680/x
  3. Step 3: Cross multiply
    29,684x = 62,680 × 62,680
  4. Step 4: Simplify right side
    29,684x = 3,928,782,400
  5. Step 5: Solve for x
    x = 3,928,782,400/29,684
  6. Step 6: Final answer
    x = 132,353.54

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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.