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Finding the Third Proportional to 11.07 and 23.94

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Solution

The third proportional to 11.07 and 23.94 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.07 : 23.94 = 23.94 : x
  2. Step 2: Convert to fraction form
    11.07/23.94 = 23.94/x
  3. Step 3: Cross multiply
    11.07x = 23.94 × 23.94
  4. Step 4: Simplify right side
    11.07x = 573.19
  5. Step 5: Solve for x
    x = 573.19/11.07
  6. Step 6: Final answer
    x = 51.76

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Why These Related Problems?

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