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Finding the Third Proportional to 2.29 and 5.49

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Solution

The third proportional to 2.29 and 5.49 is: 13.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 5.49 = 5.49 : x
  2. Step 2: Convert to fraction form
    2.29/5.49 = 5.49/x
  3. Step 3: Cross multiply
    2.29x = 5.49 × 5.49
  4. Step 4: Simplify right side
    2.29x = 30.17
  5. Step 5: Solve for x
    x = 30.17/2.29
  6. Step 6: Final answer
    x = 13.15

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.