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Finding the Third Proportional to 2.91 and 6.09

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Solution

The third proportional to 2.91 and 6.09 is: 12.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.91 : 6.09 = 6.09 : x
  2. Step 2: Convert to fraction form
    2.91/6.09 = 6.09/x
  3. Step 3: Cross multiply
    2.91x = 6.09 × 6.09
  4. Step 4: Simplify right side
    2.91x = 37.13
  5. Step 5: Solve for x
    x = 37.13/2.91
  6. Step 6: Final answer
    x = 12.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.