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Finding the Third Proportional to 11.75 and 23.09

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Solution

The third proportional to 11.75 and 23.09 is: 45.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 23.09 = 23.09 : x
  2. Step 2: Convert to fraction form
    11.75/23.09 = 23.09/x
  3. Step 3: Cross multiply
    11.75x = 23.09 × 23.09
  4. Step 4: Simplify right side
    11.75x = 533.32
  5. Step 5: Solve for x
    x = 533.32/11.75
  6. Step 6: Final answer
    x = 45.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.