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Finding the Third Proportional to 2.67 and 5.80

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Solution

The third proportional to 2.67 and 5.80 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.67 : 5.80 = 5.80 : x
  2. Step 2: Convert to fraction form
    2.67/5.80 = 5.80/x
  3. Step 3: Cross multiply
    2.67x = 5.80 × 5.80
  4. Step 4: Simplify right side
    2.67x = 33.65
  5. Step 5: Solve for x
    x = 33.65/2.67
  6. Step 6: Final answer
    x = 12.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.