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Finding the Third Proportional to 38,105 and 58,256

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Solution

The third proportional to 38,105 and 58,256 is: 89,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105 : 58,256 = 58,256 : x
  2. Step 2: Convert to fraction form
    38,105/58,256 = 58,256/x
  3. Step 3: Cross multiply
    38,105x = 58,256 × 58,256
  4. Step 4: Simplify right side
    38,105x = 3,393,761,536
  5. Step 5: Solve for x
    x = 3,393,761,536/38,105
  6. Step 6: Final answer
    x = 89,063.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.