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Finding the Third Proportional to 2.89 and 5.46

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Solution

The third proportional to 2.89 and 5.46 is: 10.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.89 : 5.46 = 5.46 : x
  2. Step 2: Convert to fraction form
    2.89/5.46 = 5.46/x
  3. Step 3: Cross multiply
    2.89x = 5.46 × 5.46
  4. Step 4: Simplify right side
    2.89x = 29.85
  5. Step 5: Solve for x
    x = 29.85/2.89
  6. Step 6: Final answer
    x = 10.32

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.