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Finding the Third Proportional to 47,708 and 62,752

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Solution

The third proportional to 47,708 and 62,752 is: 82,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708 : 62,752 = 62,752 : x
  2. Step 2: Convert to fraction form
    47,708/62,752 = 62,752/x
  3. Step 3: Cross multiply
    47,708x = 62,752 × 62,752
  4. Step 4: Simplify right side
    47,708x = 3,937,813,504
  5. Step 5: Solve for x
    x = 3,937,813,504/47,708
  6. Step 6: Final answer
    x = 82,539.90

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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.