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Finding the Third Proportional to 3.82 and 5.04

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Solution

The third proportional to 3.82 and 5.04 is: 6.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.82 : 5.04 = 5.04 : x
  2. Step 2: Convert to fraction form
    3.82/5.04 = 5.04/x
  3. Step 3: Cross multiply
    3.82x = 5.04 × 5.04
  4. Step 4: Simplify right side
    3.82x = 25.39
  5. Step 5: Solve for x
    x = 25.39/3.82
  6. Step 6: Final answer
    x = 6.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.