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Finding the Third Proportional to 27,149 and 36,034

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Solution

The third proportional to 27,149 and 36,034 is: 47,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149 : 36,034 = 36,034 : x
  2. Step 2: Convert to fraction form
    27,149/36,034 = 36,034/x
  3. Step 3: Cross multiply
    27,149x = 36,034 × 36,034
  4. Step 4: Simplify right side
    27,149x = 1,298,449,156
  5. Step 5: Solve for x
    x = 1,298,449,156/27,149
  6. Step 6: Final answer
    x = 47,826.78

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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.