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Finding the Third Proportional to 27,256 and 36,814

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Solution

The third proportional to 27,256 and 36,814 is: 49,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256 : 36,814 = 36,814 : x
  2. Step 2: Convert to fraction form
    27,256/36,814 = 36,814/x
  3. Step 3: Cross multiply
    27,256x = 36,814 × 36,814
  4. Step 4: Simplify right side
    27,256x = 1,355,270,596
  5. Step 5: Solve for x
    x = 1,355,270,596/27,256
  6. Step 6: Final answer
    x = 49,723.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.