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Finding the Third Proportional to 17,832 and 27,170

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Solution

The third proportional to 17,832 and 27,170 is: 41,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832 : 27,170 = 27,170 : x
  2. Step 2: Convert to fraction form
    17,832/27,170 = 27,170/x
  3. Step 3: Cross multiply
    17,832x = 27,170 × 27,170
  4. Step 4: Simplify right side
    17,832x = 738,208,900
  5. Step 5: Solve for x
    x = 738,208,900/17,832
  6. Step 6: Final answer
    x = 41,397.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.