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Finding the Third Proportional to 27,112 and 36,188

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Solution

The third proportional to 27,112 and 36,188 is: 48,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,112 : 36,188 = 36,188 : x
  2. Step 2: Convert to fraction form
    27,112/36,188 = 36,188/x
  3. Step 3: Cross multiply
    27,112x = 36,188 × 36,188
  4. Step 4: Simplify right side
    27,112x = 1,309,571,344
  5. Step 5: Solve for x
    x = 1,309,571,344/27,112
  6. Step 6: Final answer
    x = 48,302.28

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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.