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Finding the Third Proportional to 38,112.75 and 81,519.75

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Solution

The third proportional to 38,112.75 and 81,519.75 is: 174,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112.75 : 81,519.75 = 81,519.75 : x
  2. Step 2: Convert to fraction form
    38,112.75/81,519.75 = 81,519.75/x
  3. Step 3: Cross multiply
    38,112.75x = 81,519.75 × 81,519.75
  4. Step 4: Simplify right side
    38,112.75x = 6,645,469,640.06
  5. Step 5: Solve for x
    x = 6,645,469,640.06/38,112.75
  6. Step 6: Final answer
    x = 174,363.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.