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Finding the Third Proportional to 36.44 and 79.84

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Solution

The third proportional to 36.44 and 79.84 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.44 : 79.84 = 79.84 : x
  2. Step 2: Convert to fraction form
    36.44/79.84 = 79.84/x
  3. Step 3: Cross multiply
    36.44x = 79.84 × 79.84
  4. Step 4: Simplify right side
    36.44x = 6,375.02
  5. Step 5: Solve for x
    x = 6,375.02/36.44
  6. Step 6: Final answer
    x = 174.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.