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Finding the Third Proportional to 2.01 and 2.68

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Solution

The third proportional to 2.01 and 2.68 is: 3.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 2.68 = 2.68 : x
  2. Step 2: Convert to fraction form
    2.01/2.68 = 2.68/x
  3. Step 3: Cross multiply
    2.01x = 2.68 × 2.68
  4. Step 4: Simplify right side
    2.01x = 7.17
  5. Step 5: Solve for x
    x = 7.17/2.01
  6. Step 6: Final answer
    x = 3.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.