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Finding the Third Proportional to 17,496 and 37,327

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Solution

The third proportional to 17,496 and 37,327 is: 79,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 37,327 = 37,327 : x
  2. Step 2: Convert to fraction form
    17,496/37,327 = 37,327/x
  3. Step 3: Cross multiply
    17,496x = 37,327 × 37,327
  4. Step 4: Simplify right side
    17,496x = 1,393,304,929
  5. Step 5: Solve for x
    x = 1,393,304,929/17,496
  6. Step 6: Final answer
    x = 79,635.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.