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Finding the Third Proportional to 18,277 and 27,343

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Solution

The third proportional to 18,277 and 27,343 is: 40,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277 : 27,343 = 27,343 : x
  2. Step 2: Convert to fraction form
    18,277/27,343 = 27,343/x
  3. Step 3: Cross multiply
    18,277x = 27,343 × 27,343
  4. Step 4: Simplify right side
    18,277x = 747,639,649
  5. Step 5: Solve for x
    x = 747,639,649/18,277
  6. Step 6: Final answer
    x = 40,906.04

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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.