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Finding the Third Proportional to 27,857 and 41,817

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Solution

The third proportional to 27,857 and 41,817 is: 62,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857 : 41,817 = 41,817 : x
  2. Step 2: Convert to fraction form
    27,857/41,817 = 41,817/x
  3. Step 3: Cross multiply
    27,857x = 41,817 × 41,817
  4. Step 4: Simplify right side
    27,857x = 1,748,661,489
  5. Step 5: Solve for x
    x = 1,748,661,489/27,857
  6. Step 6: Final answer
    x = 62,772.79

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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.