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Finding the Third Proportional to 2,767.92 and 5,458.96

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Solution

The third proportional to 2,767.92 and 5,458.96 is: 10,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 5,458.96 = 5,458.96 : x
  2. Step 2: Convert to fraction form
    2,767.92/5,458.96 = 5,458.96/x
  3. Step 3: Cross multiply
    2,767.92x = 5,458.96 × 5,458.96
  4. Step 4: Simplify right side
    2,767.92x = 29,800,211.87
  5. Step 5: Solve for x
    x = 29,800,211.87/2,767.92
  6. Step 6: Final answer
    x = 10,766.28

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.