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Finding the Third Proportional to 8,380.97 and 17,450.44

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Solution

The third proportional to 8,380.97 and 17,450.44 is: 36,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.97 : 17,450.44 = 17,450.44 : x
  2. Step 2: Convert to fraction form
    8,380.97/17,450.44 = 17,450.44/x
  3. Step 3: Cross multiply
    8,380.97x = 17,450.44 × 17,450.44
  4. Step 4: Simplify right side
    8,380.97x = 304,517,768.94
  5. Step 5: Solve for x
    x = 304,517,768.94/8,380.97
  6. Step 6: Final answer
    x = 36,334.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.