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Finding the Third Proportional to 3,894 and 5,963

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Solution

The third proportional to 3,894 and 5,963 is: 9,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894 : 5,963 = 5,963 : x
  2. Step 2: Convert to fraction form
    3,894/5,963 = 5,963/x
  3. Step 3: Cross multiply
    3,894x = 5,963 × 5,963
  4. Step 4: Simplify right side
    3,894x = 35,557,369
  5. Step 5: Solve for x
    x = 35,557,369/3,894
  6. Step 6: Final answer
    x = 9,131.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.