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Finding the Third Proportional to 6,794.44 and 13,780.97

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Solution

The third proportional to 6,794.44 and 13,780.97 is: 27,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.44 : 13,780.97 = 13,780.97 : x
  2. Step 2: Convert to fraction form
    6,794.44/13,780.97 = 13,780.97/x
  3. Step 3: Cross multiply
    6,794.44x = 13,780.97 × 13,780.97
  4. Step 4: Simplify right side
    6,794.44x = 189,915,099.69
  5. Step 5: Solve for x
    x = 189,915,099.69/6,794.44
  6. Step 6: Final answer
    x = 27,951.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.