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Finding the Third Proportional to 7.69 and 12.19

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Solution

The third proportional to 7.69 and 12.19 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.69 : 12.19 = 12.19 : x
  2. Step 2: Convert to fraction form
    7.69/12.19 = 12.19/x
  3. Step 3: Cross multiply
    7.69x = 12.19 × 12.19
  4. Step 4: Simplify right side
    7.69x = 148.54
  5. Step 5: Solve for x
    x = 148.54/7.69
  6. Step 6: Final answer
    x = 19.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.