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Finding the Third Proportional to 16,227 and 23,817.38

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Solution

The third proportional to 16,227 and 23,817.38 is: 34,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227 : 23,817.38 = 23,817.38 : x
  2. Step 2: Convert to fraction form
    16,227/23,817.38 = 23,817.38/x
  3. Step 3: Cross multiply
    16,227x = 23,817.38 × 23,817.38
  4. Step 4: Simplify right side
    16,227x = 567,267,351.89
  5. Step 5: Solve for x
    x = 567,267,351.89/16,227
  6. Step 6: Final answer
    x = 34,958.24

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