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Finding the Third Proportional to 3,614 and 3,974

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Solution

The third proportional to 3,614 and 3,974 is: 4,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 3,974 = 3,974 : x
  2. Step 2: Convert to fraction form
    3,614/3,974 = 3,974/x
  3. Step 3: Cross multiply
    3,614x = 3,974 × 3,974
  4. Step 4: Simplify right side
    3,614x = 15,792,676
  5. Step 5: Solve for x
    x = 15,792,676/3,614
  6. Step 6: Final answer
    x = 4,369.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.