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Finding the Third Proportional to 6.06 and 9.69

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Solution

The third proportional to 6.06 and 9.69 is: 15.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.06 : 9.69 = 9.69 : x
  2. Step 2: Convert to fraction form
    6.06/9.69 = 9.69/x
  3. Step 3: Cross multiply
    6.06x = 9.69 × 9.69
  4. Step 4: Simplify right side
    6.06x = 93.85
  5. Step 5: Solve for x
    x = 93.85/6.06
  6. Step 6: Final answer
    x = 15.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.