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Finding the Third Proportional to 38.39 and 85.83

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Solution

The third proportional to 38.39 and 85.83 is: 191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.39 : 85.83 = 85.83 : x
  2. Step 2: Convert to fraction form
    38.39/85.83 = 85.83/x
  3. Step 3: Cross multiply
    38.39x = 85.83 × 85.83
  4. Step 4: Simplify right side
    38.39x = 7,366.47
  5. Step 5: Solve for x
    x = 7,366.47/38.39
  6. Step 6: Final answer
    x = 191.88

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.