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Finding the Third Proportional to 2.89 and 7.61

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Solution

The third proportional to 2.89 and 7.61 is: 20.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.89 : 7.61 = 7.61 : x
  2. Step 2: Convert to fraction form
    2.89/7.61 = 7.61/x
  3. Step 3: Cross multiply
    2.89x = 7.61 × 7.61
  4. Step 4: Simplify right side
    2.89x = 57.91
  5. Step 5: Solve for x
    x = 57.91/2.89
  6. Step 6: Final answer
    x = 20.04

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.