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Finding the Third Proportional to 3,286.41 and 4,963.92

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Solution

The third proportional to 3,286.41 and 4,963.92 is: 7,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.41 : 4,963.92 = 4,963.92 : x
  2. Step 2: Convert to fraction form
    3,286.41/4,963.92 = 4,963.92/x
  3. Step 3: Cross multiply
    3,286.41x = 4,963.92 × 4,963.92
  4. Step 4: Simplify right side
    3,286.41x = 24,640,520.38
  5. Step 5: Solve for x
    x = 24,640,520.38/3,286.41
  6. Step 6: Final answer
    x = 7,497.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.