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Finding the Third Proportional to 7,951.22 and 11,944.97

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Solution

The third proportional to 7,951.22 and 11,944.97 is: 17,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.22 : 11,944.97 = 11,944.97 : x
  2. Step 2: Convert to fraction form
    7,951.22/11,944.97 = 11,944.97/x
  3. Step 3: Cross multiply
    7,951.22x = 11,944.97 × 11,944.97
  4. Step 4: Simplify right side
    7,951.22x = 142,682,278.44
  5. Step 5: Solve for x
    x = 142,682,278.44/7,951.22
  6. Step 6: Final answer
    x = 17,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.