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Finding the Third Proportional to 27,478 and 37,327

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Solution

The third proportional to 27,478 and 37,327 is: 50,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478 : 37,327 = 37,327 : x
  2. Step 2: Convert to fraction form
    27,478/37,327 = 37,327/x
  3. Step 3: Cross multiply
    27,478x = 37,327 × 37,327
  4. Step 4: Simplify right side
    27,478x = 1,393,304,929
  5. Step 5: Solve for x
    x = 1,393,304,929/27,478
  6. Step 6: Final answer
    x = 50,706.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.