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Finding the Third Proportional to 27,907 and 41,857

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Solution

The third proportional to 27,907 and 41,857 is: 62,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907 : 41,857 = 41,857 : x
  2. Step 2: Convert to fraction form
    27,907/41,857 = 41,857/x
  3. Step 3: Cross multiply
    27,907x = 41,857 × 41,857
  4. Step 4: Simplify right side
    27,907x = 1,752,008,449
  5. Step 5: Solve for x
    x = 1,752,008,449/27,907
  6. Step 6: Final answer
    x = 62,780.25

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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.