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Finding the Third Proportional to 4.12 and 4.44

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Solution

The third proportional to 4.12 and 4.44 is: 4.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.12 : 4.44 = 4.44 : x
  2. Step 2: Convert to fraction form
    4.12/4.44 = 4.44/x
  3. Step 3: Cross multiply
    4.12x = 4.44 × 4.44
  4. Step 4: Simplify right side
    4.12x = 19.70
  5. Step 5: Solve for x
    x = 19.70/4.12
  6. Step 6: Final answer
    x = 4.78

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.