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Finding the Third Proportional to 3,972 and 5,647

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Solution

The third proportional to 3,972 and 5,647 is: 8,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,647 = 5,647 : x
  2. Step 2: Convert to fraction form
    3,972/5,647 = 5,647/x
  3. Step 3: Cross multiply
    3,972x = 5,647 × 5,647
  4. Step 4: Simplify right side
    3,972x = 31,888,609
  5. Step 5: Solve for x
    x = 31,888,609/3,972
  6. Step 6: Final answer
    x = 8,028.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.