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Finding the Third Proportional to 22,277 and 47,467

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Solution

The third proportional to 22,277 and 47,467 is: 101,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277 : 47,467 = 47,467 : x
  2. Step 2: Convert to fraction form
    22,277/47,467 = 47,467/x
  3. Step 3: Cross multiply
    22,277x = 47,467 × 47,467
  4. Step 4: Simplify right side
    22,277x = 2,253,116,089
  5. Step 5: Solve for x
    x = 2,253,116,089/22,277
  6. Step 6: Final answer
    x = 101,140.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.