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Finding the Third Proportional to 5,662 and 7,647

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Solution

The third proportional to 5,662 and 7,647 is: 10,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 7,647 = 7,647 : x
  2. Step 2: Convert to fraction form
    5,662/7,647 = 7,647/x
  3. Step 3: Cross multiply
    5,662x = 7,647 × 7,647
  4. Step 4: Simplify right side
    5,662x = 58,476,609
  5. Step 5: Solve for x
    x = 58,476,609/5,662
  6. Step 6: Final answer
    x = 10,327.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.