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Finding the Third Proportional to 3,972 and 6,378

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Solution

The third proportional to 3,972 and 6,378 is: 10,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 6,378 = 6,378 : x
  2. Step 2: Convert to fraction form
    3,972/6,378 = 6,378/x
  3. Step 3: Cross multiply
    3,972x = 6,378 × 6,378
  4. Step 4: Simplify right side
    3,972x = 40,678,884
  5. Step 5: Solve for x
    x = 40,678,884/3,972
  6. Step 6: Final answer
    x = 10,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.