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Finding the Third Proportional to 11.39 and 74.04

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Solution

The third proportional to 11.39 and 74.04 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.39 : 74.04 = 74.04 : x
  2. Step 2: Convert to fraction form
    11.39/74.04 = 74.04/x
  3. Step 3: Cross multiply
    11.39x = 74.04 × 74.04
  4. Step 4: Simplify right side
    11.39x = 5,481.78
  5. Step 5: Solve for x
    x = 5,481.78/11.39
  6. Step 6: Final answer
    x = 481.25

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These problems maintain the same ratio (6.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.