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Finding the Third Proportional to 27,718 and 41,867

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Solution

The third proportional to 27,718 and 41,867 is: 63,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718 : 41,867 = 41,867 : x
  2. Step 2: Convert to fraction form
    27,718/41,867 = 41,867/x
  3. Step 3: Cross multiply
    27,718x = 41,867 × 41,867
  4. Step 4: Simplify right side
    27,718x = 1,752,845,689
  5. Step 5: Solve for x
    x = 1,752,845,689/27,718
  6. Step 6: Final answer
    x = 63,238.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.