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Finding the Third Proportional to 27,511 and 41,327

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Solution

The third proportional to 27,511 and 41,327 is: 62,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511 : 41,327 = 41,327 : x
  2. Step 2: Convert to fraction form
    27,511/41,327 = 41,327/x
  3. Step 3: Cross multiply
    27,511x = 41,327 × 41,327
  4. Step 4: Simplify right side
    27,511x = 1,707,920,929
  5. Step 5: Solve for x
    x = 1,707,920,929/27,511
  6. Step 6: Final answer
    x = 62,081.38

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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.