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Finding the Third Proportional to 38.09 and 80.80

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Solution

The third proportional to 38.09 and 80.80 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.09 : 80.80 = 80.80 : x
  2. Step 2: Convert to fraction form
    38.09/80.80 = 80.80/x
  3. Step 3: Cross multiply
    38.09x = 80.80 × 80.80
  4. Step 4: Simplify right side
    38.09x = 6,529.00
  5. Step 5: Solve for x
    x = 6,529.00/38.09
  6. Step 6: Final answer
    x = 171.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.