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Finding the Third Proportional to 5,614 and 7,422

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Solution

The third proportional to 5,614 and 7,422 is: 9,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614 : 7,422 = 7,422 : x
  2. Step 2: Convert to fraction form
    5,614/7,422 = 7,422/x
  3. Step 3: Cross multiply
    5,614x = 7,422 × 7,422
  4. Step 4: Simplify right side
    5,614x = 55,086,084
  5. Step 5: Solve for x
    x = 55,086,084/5,614
  6. Step 6: Final answer
    x = 9,812.27

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.