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Finding the Third Proportional to 18,571 and 27,857

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Solution

The third proportional to 18,571 and 27,857 is: 41,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571 : 27,857 = 27,857 : x
  2. Step 2: Convert to fraction form
    18,571/27,857 = 27,857/x
  3. Step 3: Cross multiply
    18,571x = 27,857 × 27,857
  4. Step 4: Simplify right side
    18,571x = 776,012,449
  5. Step 5: Solve for x
    x = 776,012,449/18,571
  6. Step 6: Final answer
    x = 41,786.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.