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Finding the Third Proportional to 36 and 84.09

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Solution

The third proportional to 36 and 84.09 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 84.09 = 84.09 : x
  2. Step 2: Convert to fraction form
    36/84.09 = 84.09/x
  3. Step 3: Cross multiply
    36x = 84.09 × 84.09
  4. Step 4: Simplify right side
    36x = 7,071.76
  5. Step 5: Solve for x
    x = 7,071.76/36
  6. Step 6: Final answer
    x = 196.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.