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Finding the Third Proportional to 22,147 and 29,836

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Solution

The third proportional to 22,147 and 29,836 is: 40,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147 : 29,836 = 29,836 : x
  2. Step 2: Convert to fraction form
    22,147/29,836 = 29,836/x
  3. Step 3: Cross multiply
    22,147x = 29,836 × 29,836
  4. Step 4: Simplify right side
    22,147x = 890,186,896
  5. Step 5: Solve for x
    x = 890,186,896/22,147
  6. Step 6: Final answer
    x = 40,194.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.