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Finding the Third Proportional to 3,331.97 and 5,182.31

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Solution

The third proportional to 3,331.97 and 5,182.31 is: 8,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.97 : 5,182.31 = 5,182.31 : x
  2. Step 2: Convert to fraction form
    3,331.97/5,182.31 = 5,182.31/x
  3. Step 3: Cross multiply
    3,331.97x = 5,182.31 × 5,182.31
  4. Step 4: Simplify right side
    3,331.97x = 26,856,362.85
  5. Step 5: Solve for x
    x = 26,856,362.85/3,331.97
  6. Step 6: Final answer
    x = 8,060.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.