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Finding the Third Proportional to 38,048 and 80,256

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Solution

The third proportional to 38,048 and 80,256 is: 169,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048 : 80,256 = 80,256 : x
  2. Step 2: Convert to fraction form
    38,048/80,256 = 80,256/x
  3. Step 3: Cross multiply
    38,048x = 80,256 × 80,256
  4. Step 4: Simplify right side
    38,048x = 6,441,025,536
  5. Step 5: Solve for x
    x = 6,441,025,536/38,048
  6. Step 6: Final answer
    x = 169,286.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.