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Finding the Third Proportional to 0.75 and 1.96

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Solution

The third proportional to 0.75 and 1.96 is: 5.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.75 : 1.96 = 1.96 : x
  2. Step 2: Convert to fraction form
    0.75/1.96 = 1.96/x
  3. Step 3: Cross multiply
    0.75x = 1.96 × 1.96
  4. Step 4: Simplify right side
    0.75x = 3.83
  5. Step 5: Solve for x
    x = 3.83/0.75
  6. Step 6: Final answer
    x = 5.14

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.