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Finding the Third Proportional to 793.97 and 2,155.78

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Solution

The third proportional to 793.97 and 2,155.78 is: 5,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.97 : 2,155.78 = 2,155.78 : x
  2. Step 2: Convert to fraction form
    793.97/2,155.78 = 2,155.78/x
  3. Step 3: Cross multiply
    793.97x = 2,155.78 × 2,155.78
  4. Step 4: Simplify right side
    793.97x = 4,647,392.80
  5. Step 5: Solve for x
    x = 4,647,392.80/793.97
  6. Step 6: Final answer
    x = 5,853.37

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.