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Finding the Third Proportional to 1.44 and 2.82

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Solution

The third proportional to 1.44 and 2.82 is: 5.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.44 : 2.82 = 2.82 : x
  2. Step 2: Convert to fraction form
    1.44/2.82 = 2.82/x
  3. Step 3: Cross multiply
    1.44x = 2.82 × 2.82
  4. Step 4: Simplify right side
    1.44x = 7.93
  5. Step 5: Solve for x
    x = 7.93/1.44
  6. Step 6: Final answer
    x = 5.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.