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Finding the Third Proportional to 3,331.69 and 6,982.31

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Solution

The third proportional to 3,331.69 and 6,982.31 is: 14,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.69 : 6,982.31 = 6,982.31 : x
  2. Step 2: Convert to fraction form
    3,331.69/6,982.31 = 6,982.31/x
  3. Step 3: Cross multiply
    3,331.69x = 6,982.31 × 6,982.31
  4. Step 4: Simplify right side
    3,331.69x = 48,752,687.85
  5. Step 5: Solve for x
    x = 48,752,687.85/3,331.69
  6. Step 6: Final answer
    x = 14,633.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.