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Finding the Third Proportional to 2,551.68 and 3,942.85

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Solution

The third proportional to 2,551.68 and 3,942.85 is: 6,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.68 : 3,942.85 = 3,942.85 : x
  2. Step 2: Convert to fraction form
    2,551.68/3,942.85 = 3,942.85/x
  3. Step 3: Cross multiply
    2,551.68x = 3,942.85 × 3,942.85
  4. Step 4: Simplify right side
    2,551.68x = 15,546,042.83
  5. Step 5: Solve for x
    x = 15,546,042.83/2,551.68
  6. Step 6: Final answer
    x = 6,092.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.