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Finding the Third Proportional to 2.05 and 2.36

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Solution

The third proportional to 2.05 and 2.36 is: 2.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.05 : 2.36 = 2.36 : x
  2. Step 2: Convert to fraction form
    2.05/2.36 = 2.36/x
  3. Step 3: Cross multiply
    2.05x = 2.36 × 2.36
  4. Step 4: Simplify right side
    2.05x = 5.57
  5. Step 5: Solve for x
    x = 5.57/2.05
  6. Step 6: Final answer
    x = 2.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.