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Finding the Third Proportional to 2,759.38 and 5,930.96

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Solution

The third proportional to 2,759.38 and 5,930.96 is: 12,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.38 : 5,930.96 = 5,930.96 : x
  2. Step 2: Convert to fraction form
    2,759.38/5,930.96 = 5,930.96/x
  3. Step 3: Cross multiply
    2,759.38x = 5,930.96 × 5,930.96
  4. Step 4: Simplify right side
    2,759.38x = 35,176,239.72
  5. Step 5: Solve for x
    x = 35,176,239.72/2,759.38
  6. Step 6: Final answer
    x = 12,747.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.