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Finding the Third Proportional to 10,020.38 and 16,591.50

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Solution

The third proportional to 10,020.38 and 16,591.50 is: 27,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.38 : 16,591.50 = 16,591.50 : x
  2. Step 2: Convert to fraction form
    10,020.38/16,591.50 = 16,591.50/x
  3. Step 3: Cross multiply
    10,020.38x = 16,591.50 × 16,591.50
  4. Step 4: Simplify right side
    10,020.38x = 275,277,872.25
  5. Step 5: Solve for x
    x = 275,277,872.25/10,020.38
  6. Step 6: Final answer
    x = 27,471.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.