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Finding the Third Proportional to 7,924 and 17,422

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Solution

The third proportional to 7,924 and 17,422 is: 38,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 17,422 = 17,422 : x
  2. Step 2: Convert to fraction form
    7,924/17,422 = 17,422/x
  3. Step 3: Cross multiply
    7,924x = 17,422 × 17,422
  4. Step 4: Simplify right side
    7,924x = 303,526,084
  5. Step 5: Solve for x
    x = 303,526,084/7,924
  6. Step 6: Final answer
    x = 38,304.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.