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Finding the Third Proportional to 47,706 and 62,751

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Solution

The third proportional to 47,706 and 62,751 is: 82,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706 : 62,751 = 62,751 : x
  2. Step 2: Convert to fraction form
    47,706/62,751 = 62,751/x
  3. Step 3: Cross multiply
    47,706x = 62,751 × 62,751
  4. Step 4: Simplify right side
    47,706x = 3,937,688,001
  5. Step 5: Solve for x
    x = 3,937,688,001/47,706
  6. Step 6: Final answer
    x = 82,540.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.