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Finding the Third Proportional to 29,682 and 62,676

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Solution

The third proportional to 29,682 and 62,676 is: 132,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 62,676 = 62,676 : x
  2. Step 2: Convert to fraction form
    29,682/62,676 = 62,676/x
  3. Step 3: Cross multiply
    29,682x = 62,676 × 62,676
  4. Step 4: Simplify right side
    29,682x = 3,928,280,976
  5. Step 5: Solve for x
    x = 3,928,280,976/29,682
  6. Step 6: Final answer
    x = 132,345.56

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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.