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Finding the Third Proportional to 1.10 and 1.96

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Solution

The third proportional to 1.10 and 1.96 is: 3.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.10 : 1.96 = 1.96 : x
  2. Step 2: Convert to fraction form
    1.10/1.96 = 1.96/x
  3. Step 3: Cross multiply
    1.10x = 1.96 × 1.96
  4. Step 4: Simplify right side
    1.10x = 3.84
  5. Step 5: Solve for x
    x = 3.84/1.10
  6. Step 6: Final answer
    x = 3.48

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.