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Finding the Third Proportional to 47,472 and 68,759

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Solution

The third proportional to 47,472 and 68,759 is: 99,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472 : 68,759 = 68,759 : x
  2. Step 2: Convert to fraction form
    47,472/68,759 = 68,759/x
  3. Step 3: Cross multiply
    47,472x = 68,759 × 68,759
  4. Step 4: Simplify right side
    47,472x = 4,727,800,081
  5. Step 5: Solve for x
    x = 4,727,800,081/47,472
  6. Step 6: Final answer
    x = 99,591.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.