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Finding the Third Proportional to 16,174.69 and 21,737.11

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Solution

The third proportional to 16,174.69 and 21,737.11 is: 29,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.69 : 21,737.11 = 21,737.11 : x
  2. Step 2: Convert to fraction form
    16,174.69/21,737.11 = 21,737.11/x
  3. Step 3: Cross multiply
    16,174.69x = 21,737.11 × 21,737.11
  4. Step 4: Simplify right side
    16,174.69x = 472,501,923.98
  5. Step 5: Solve for x
    x = 472,501,923.98/16,174.69
  6. Step 6: Final answer
    x = 29,212.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.