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Finding the Third Proportional to 17,337.96 and 17,914.61

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Solution

The third proportional to 17,337.96 and 17,914.61 is: 18,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337.96 : 17,914.61 = 17,914.61 : x
  2. Step 2: Convert to fraction form
    17,337.96/17,914.61 = 17,914.61/x
  3. Step 3: Cross multiply
    17,337.96x = 17,914.61 × 17,914.61
  4. Step 4: Simplify right side
    17,337.96x = 320,933,089.10
  5. Step 5: Solve for x
    x = 320,933,089.10/17,337.96
  6. Step 6: Final answer
    x = 18,510.43

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.