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Finding the Third Proportional to 3,964.92 and 6,136.17

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Solution

The third proportional to 3,964.92 and 6,136.17 is: 9,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.92 : 6,136.17 = 6,136.17 : x
  2. Step 2: Convert to fraction form
    3,964.92/6,136.17 = 6,136.17/x
  3. Step 3: Cross multiply
    3,964.92x = 6,136.17 × 6,136.17
  4. Step 4: Simplify right side
    3,964.92x = 37,652,605.28
  5. Step 5: Solve for x
    x = 37,652,605.28/3,964.92
  6. Step 6: Final answer
    x = 9,496.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.