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Finding the Third Proportional to 3,894.38 and 8,382.75

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Solution

The third proportional to 3,894.38 and 8,382.75 is: 18,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.38 : 8,382.75 = 8,382.75 : x
  2. Step 2: Convert to fraction form
    3,894.38/8,382.75 = 8,382.75/x
  3. Step 3: Cross multiply
    3,894.38x = 8,382.75 × 8,382.75
  4. Step 4: Simplify right side
    3,894.38x = 70,270,497.56
  5. Step 5: Solve for x
    x = 70,270,497.56/3,894.38
  6. Step 6: Final answer
    x = 18,044.10

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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.