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Finding the Third Proportional to 3,832 and 6,078

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Solution

The third proportional to 3,832 and 6,078 is: 9,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 6,078 = 6,078 : x
  2. Step 2: Convert to fraction form
    3,832/6,078 = 6,078/x
  3. Step 3: Cross multiply
    3,832x = 6,078 × 6,078
  4. Step 4: Simplify right side
    3,832x = 36,942,084
  5. Step 5: Solve for x
    x = 36,942,084/3,832
  6. Step 6: Final answer
    x = 9,640.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.