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Finding the Third Proportional to 19,520 and 29,227

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Solution

The third proportional to 19,520 and 29,227 is: 43,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520 : 29,227 = 29,227 : x
  2. Step 2: Convert to fraction form
    19,520/29,227 = 29,227/x
  3. Step 3: Cross multiply
    19,520x = 29,227 × 29,227
  4. Step 4: Simplify right side
    19,520x = 854,217,529
  5. Step 5: Solve for x
    x = 854,217,529/19,520
  6. Step 6: Final answer
    x = 43,761.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.