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Finding the Third Proportional to 19,882 and 29,227

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Solution

The third proportional to 19,882 and 29,227 is: 42,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 29,227 = 29,227 : x
  2. Step 2: Convert to fraction form
    19,882/29,227 = 29,227/x
  3. Step 3: Cross multiply
    19,882x = 29,227 × 29,227
  4. Step 4: Simplify right side
    19,882x = 854,217,529
  5. Step 5: Solve for x
    x = 854,217,529/19,882
  6. Step 6: Final answer
    x = 42,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.