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Finding the Third Proportional to 11.98 and 25.06

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Solution

The third proportional to 11.98 and 25.06 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 25.06 = 25.06 : x
  2. Step 2: Convert to fraction form
    11.98/25.06 = 25.06/x
  3. Step 3: Cross multiply
    11.98x = 25.06 × 25.06
  4. Step 4: Simplify right side
    11.98x = 628.13
  5. Step 5: Solve for x
    x = 628.13/11.98
  6. Step 6: Final answer
    x = 52.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.