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Finding the Third Proportional to 1.44 and 2.71

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Solution

The third proportional to 1.44 and 2.71 is: 5.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.44 : 2.71 = 2.71 : x
  2. Step 2: Convert to fraction form
    1.44/2.71 = 2.71/x
  3. Step 3: Cross multiply
    1.44x = 2.71 × 2.71
  4. Step 4: Simplify right side
    1.44x = 7.35
  5. Step 5: Solve for x
    x = 7.35/1.44
  6. Step 6: Final answer
    x = 5.11

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.