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Finding the Third Proportional to 38,175.75 and 82,204.88

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Solution

The third proportional to 38,175.75 and 82,204.88 is: 177,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175.75 : 82,204.88 = 82,204.88 : x
  2. Step 2: Convert to fraction form
    38,175.75/82,204.88 = 82,204.88/x
  3. Step 3: Cross multiply
    38,175.75x = 82,204.88 × 82,204.88
  4. Step 4: Simplify right side
    38,175.75x = 6,757,641,473.77
  5. Step 5: Solve for x
    x = 6,757,641,473.77/38,175.75
  6. Step 6: Final answer
    x = 177,013.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.