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Finding the Third Proportional to 34.44 and 76.19

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Solution

The third proportional to 34.44 and 76.19 is: 168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.44 : 76.19 = 76.19 : x
  2. Step 2: Convert to fraction form
    34.44/76.19 = 76.19/x
  3. Step 3: Cross multiply
    34.44x = 76.19 × 76.19
  4. Step 4: Simplify right side
    34.44x = 5,804.54
  5. Step 5: Solve for x
    x = 5,804.54/34.44
  6. Step 6: Final answer
    x = 168.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.