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Finding the Third Proportional to 4,382.54 and 9,380.18

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Solution

The third proportional to 4,382.54 and 9,380.18 is: 20,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.54 : 9,380.18 = 9,380.18 : x
  2. Step 2: Convert to fraction form
    4,382.54/9,380.18 = 9,380.18/x
  3. Step 3: Cross multiply
    4,382.54x = 9,380.18 × 9,380.18
  4. Step 4: Simplify right side
    4,382.54x = 87,987,770.97
  5. Step 5: Solve for x
    x = 87,987,770.97/4,382.54
  6. Step 6: Final answer
    x = 20,076.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.