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Finding the Third Proportional to 3,825.56 and 8,234.44

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Solution

The third proportional to 3,825.56 and 8,234.44 is: 17,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.56 : 8,234.44 = 8,234.44 : x
  2. Step 2: Convert to fraction form
    3,825.56/8,234.44 = 8,234.44/x
  3. Step 3: Cross multiply
    3,825.56x = 8,234.44 × 8,234.44
  4. Step 4: Simplify right side
    3,825.56x = 67,805,960.94
  5. Step 5: Solve for x
    x = 67,805,960.94/3,825.56
  6. Step 6: Final answer
    x = 17,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.