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Finding the Third Proportional to 17,327 and 36,721

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Solution

The third proportional to 17,327 and 36,721 is: 77,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 36,721 = 36,721 : x
  2. Step 2: Convert to fraction form
    17,327/36,721 = 36,721/x
  3. Step 3: Cross multiply
    17,327x = 36,721 × 36,721
  4. Step 4: Simplify right side
    17,327x = 1,348,431,841
  5. Step 5: Solve for x
    x = 1,348,431,841/17,327
  6. Step 6: Final answer
    x = 77,822.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.