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Finding the Third Proportional to 3,728 and 6,781

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Solution

The third proportional to 3,728 and 6,781 is: 12,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728 : 6,781 = 6,781 : x
  2. Step 2: Convert to fraction form
    3,728/6,781 = 6,781/x
  3. Step 3: Cross multiply
    3,728x = 6,781 × 6,781
  4. Step 4: Simplify right side
    3,728x = 45,981,961
  5. Step 5: Solve for x
    x = 45,981,961/3,728
  6. Step 6: Final answer
    x = 12,334.22

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.