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Finding the Third Proportional to 29,732 and 47,828

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Solution

The third proportional to 29,732 and 47,828 is: 76,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732 : 47,828 = 47,828 : x
  2. Step 2: Convert to fraction form
    29,732/47,828 = 47,828/x
  3. Step 3: Cross multiply
    29,732x = 47,828 × 47,828
  4. Step 4: Simplify right side
    29,732x = 2,287,517,584
  5. Step 5: Solve for x
    x = 2,287,517,584/29,732
  6. Step 6: Final answer
    x = 76,937.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.