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Finding the Third Proportional to 38.25 and 84.09

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Solution

The third proportional to 38.25 and 84.09 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 84.09 = 84.09 : x
  2. Step 2: Convert to fraction form
    38.25/84.09 = 84.09/x
  3. Step 3: Cross multiply
    38.25x = 84.09 × 84.09
  4. Step 4: Simplify right side
    38.25x = 7,071.76
  5. Step 5: Solve for x
    x = 7,071.76/38.25
  6. Step 6: Final answer
    x = 184.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.