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Finding the Third Proportional to 11.06 and 23.78

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Solution

The third proportional to 11.06 and 23.78 is: 51.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.06 : 23.78 = 23.78 : x
  2. Step 2: Convert to fraction form
    11.06/23.78 = 23.78/x
  3. Step 3: Cross multiply
    11.06x = 23.78 × 23.78
  4. Step 4: Simplify right side
    11.06x = 565.55
  5. Step 5: Solve for x
    x = 565.55/11.06
  6. Step 6: Final answer
    x = 51.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.