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Finding the Third Proportional to 22,337 and 47,266

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Solution

The third proportional to 22,337 and 47,266 is: 100,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337 : 47,266 = 47,266 : x
  2. Step 2: Convert to fraction form
    22,337/47,266 = 47,266/x
  3. Step 3: Cross multiply
    22,337x = 47,266 × 47,266
  4. Step 4: Simplify right side
    22,337x = 2,234,074,756
  5. Step 5: Solve for x
    x = 2,234,074,756/22,337
  6. Step 6: Final answer
    x = 100,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.