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Finding the Third Proportional to 7.69 and 17.06

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Solution

The third proportional to 7.69 and 17.06 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.69 : 17.06 = 17.06 : x
  2. Step 2: Convert to fraction form
    7.69/17.06 = 17.06/x
  3. Step 3: Cross multiply
    7.69x = 17.06 × 17.06
  4. Step 4: Simplify right side
    7.69x = 291.13
  5. Step 5: Solve for x
    x = 291.13/7.69
  6. Step 6: Final answer
    x = 37.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.