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Finding the Third Proportional to 7,832 and 17,924

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Solution

The third proportional to 7,832 and 17,924 is: 41,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 17,924 = 17,924 : x
  2. Step 2: Convert to fraction form
    7,832/17,924 = 17,924/x
  3. Step 3: Cross multiply
    7,832x = 17,924 × 17,924
  4. Step 4: Simplify right side
    7,832x = 321,269,776
  5. Step 5: Solve for x
    x = 321,269,776/7,832
  6. Step 6: Final answer
    x = 41,020.15

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.