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Finding the Third Proportional to 11.08 and 23.99

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Solution

The third proportional to 11.08 and 23.99 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.08 : 23.99 = 23.99 : x
  2. Step 2: Convert to fraction form
    11.08/23.99 = 23.99/x
  3. Step 3: Cross multiply
    11.08x = 23.99 × 23.99
  4. Step 4: Simplify right side
    11.08x = 575.28
  5. Step 5: Solve for x
    x = 575.28/11.08
  6. Step 6: Final answer
    x = 51.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.