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Finding the Third Proportional to 1.81 and 3.97

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Solution

The third proportional to 1.81 and 3.97 is: 8.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.81 : 3.97 = 3.97 : x
  2. Step 2: Convert to fraction form
    1.81/3.97 = 3.97/x
  3. Step 3: Cross multiply
    1.81x = 3.97 × 3.97
  4. Step 4: Simplify right side
    1.81x = 15.75
  5. Step 5: Solve for x
    x = 15.75/1.81
  6. Step 6: Final answer
    x = 8.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.