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Finding the Third Proportional to 22,102 and 47,734

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Solution

The third proportional to 22,102 and 47,734 is: 103,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102 : 47,734 = 47,734 : x
  2. Step 2: Convert to fraction form
    22,102/47,734 = 47,734/x
  3. Step 3: Cross multiply
    22,102x = 47,734 × 47,734
  4. Step 4: Simplify right side
    22,102x = 2,278,534,756
  5. Step 5: Solve for x
    x = 2,278,534,756/22,102
  6. Step 6: Final answer
    x = 103,091.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.