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Finding the Third Proportional to 3.09 and 6.60

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Solution

The third proportional to 3.09 and 6.60 is: 14.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 6.60 = 6.60 : x
  2. Step 2: Convert to fraction form
    3.09/6.60 = 6.60/x
  3. Step 3: Cross multiply
    3.09x = 6.60 × 6.60
  4. Step 4: Simplify right side
    3.09x = 43.55
  5. Step 5: Solve for x
    x = 43.55/3.09
  6. Step 6: Final answer
    x = 14.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.