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Finding the Third Proportional to 6,204.38 and 13,380.75

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Solution

The third proportional to 6,204.38 and 13,380.75 is: 28,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.38 : 13,380.75 = 13,380.75 : x
  2. Step 2: Convert to fraction form
    6,204.38/13,380.75 = 13,380.75/x
  3. Step 3: Cross multiply
    6,204.38x = 13,380.75 × 13,380.75
  4. Step 4: Simplify right side
    6,204.38x = 179,044,470.56
  5. Step 5: Solve for x
    x = 179,044,470.56/6,204.38
  6. Step 6: Final answer
    x = 28,857.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.