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Finding the Third Proportional to 38,256 and 58,193

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Solution

The third proportional to 38,256 and 58,193 is: 88,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256 : 58,193 = 58,193 : x
  2. Step 2: Convert to fraction form
    38,256/58,193 = 58,193/x
  3. Step 3: Cross multiply
    38,256x = 58,193 × 58,193
  4. Step 4: Simplify right side
    38,256x = 3,386,425,249
  5. Step 5: Solve for x
    x = 3,386,425,249/38,256
  6. Step 6: Final answer
    x = 88,520.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.