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Finding the Third Proportional to 3.44 and 7.44

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Solution

The third proportional to 3.44 and 7.44 is: 16.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.44 : 7.44 = 7.44 : x
  2. Step 2: Convert to fraction form
    3.44/7.44 = 7.44/x
  3. Step 3: Cross multiply
    3.44x = 7.44 × 7.44
  4. Step 4: Simplify right side
    3.44x = 55.32
  5. Step 5: Solve for x
    x = 55.32/3.44
  6. Step 6: Final answer
    x = 16.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.