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Finding the Third Proportional to 3.82 and 6.01

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Solution

The third proportional to 3.82 and 6.01 is: 9.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.82 : 6.01 = 6.01 : x
  2. Step 2: Convert to fraction form
    3.82/6.01 = 6.01/x
  3. Step 3: Cross multiply
    3.82x = 6.01 × 6.01
  4. Step 4: Simplify right side
    3.82x = 36.15
  5. Step 5: Solve for x
    x = 36.15/3.82
  6. Step 6: Final answer
    x = 9.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.