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Finding the Third Proportional to 5.79 and 12.49

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Solution

The third proportional to 5.79 and 12.49 is: 26.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.79 : 12.49 = 12.49 : x
  2. Step 2: Convert to fraction form
    5.79/12.49 = 12.49/x
  3. Step 3: Cross multiply
    5.79x = 12.49 × 12.49
  4. Step 4: Simplify right side
    5.79x = 155.97
  5. Step 5: Solve for x
    x = 155.97/5.79
  6. Step 6: Final answer
    x = 26.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.