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Finding the Third Proportional to 3,331.97 and 7,713.56

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Solution

The third proportional to 3,331.97 and 7,713.56 is: 17,857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.97 : 7,713.56 = 7,713.56 : x
  2. Step 2: Convert to fraction form
    3,331.97/7,713.56 = 7,713.56/x
  3. Step 3: Cross multiply
    3,331.97x = 7,713.56 × 7,713.56
  4. Step 4: Simplify right side
    3,331.97x = 59,499,046.44
  5. Step 5: Solve for x
    x = 59,499,046.44/3,331.97
  6. Step 6: Final answer
    x = 17,857.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.