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Finding the Third Proportional to 9,687.29 and 13,711.27

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Solution

The third proportional to 9,687.29 and 13,711.27 is: 19,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.29 : 13,711.27 = 13,711.27 : x
  2. Step 2: Convert to fraction form
    9,687.29/13,711.27 = 13,711.27/x
  3. Step 3: Cross multiply
    9,687.29x = 13,711.27 × 13,711.27
  4. Step 4: Simplify right side
    9,687.29x = 187,998,965.72
  5. Step 5: Solve for x
    x = 187,998,965.72/9,687.29
  6. Step 6: Final answer
    x = 19,406.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.