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Finding the Third Proportional to 1.96 and 2.76

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Solution

The third proportional to 1.96 and 2.76 is: 3.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.96 : 2.76 = 2.76 : x
  2. Step 2: Convert to fraction form
    1.96/2.76 = 2.76/x
  3. Step 3: Cross multiply
    1.96x = 2.76 × 2.76
  4. Step 4: Simplify right side
    1.96x = 7.61
  5. Step 5: Solve for x
    x = 7.61/1.96
  6. Step 6: Final answer
    x = 3.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.