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Finding the Third Proportional to 22,942 and 30,234

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Solution

The third proportional to 22,942 and 30,234 is: 39,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942 : 30,234 = 30,234 : x
  2. Step 2: Convert to fraction form
    22,942/30,234 = 30,234/x
  3. Step 3: Cross multiply
    22,942x = 30,234 × 30,234
  4. Step 4: Simplify right side
    22,942x = 914,094,756
  5. Step 5: Solve for x
    x = 914,094,756/22,942
  6. Step 6: Final answer
    x = 39,843.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.