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Finding the Third Proportional to 27,380 and 36,399

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Solution

The third proportional to 27,380 and 36,399 is: 48,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380 : 36,399 = 36,399 : x
  2. Step 2: Convert to fraction form
    27,380/36,399 = 36,399/x
  3. Step 3: Cross multiply
    27,380x = 36,399 × 36,399
  4. Step 4: Simplify right side
    27,380x = 1,324,887,201
  5. Step 5: Solve for x
    x = 1,324,887,201/27,380
  6. Step 6: Final answer
    x = 48,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.