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Finding the Third Proportional to 18,245 and 27,327

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Solution

The third proportional to 18,245 and 27,327 is: 40,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,245 : 27,327 = 27,327 : x
  2. Step 2: Convert to fraction form
    18,245/27,327 = 27,327/x
  3. Step 3: Cross multiply
    18,245x = 27,327 × 27,327
  4. Step 4: Simplify right side
    18,245x = 746,764,929
  5. Step 5: Solve for x
    x = 746,764,929/18,245
  6. Step 6: Final answer
    x = 40,929.84

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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.