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Finding the Third Proportional to 11.97 and 23.44

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Solution

The third proportional to 11.97 and 23.44 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 23.44 = 23.44 : x
  2. Step 2: Convert to fraction form
    11.97/23.44 = 23.44/x
  3. Step 3: Cross multiply
    11.97x = 23.44 × 23.44
  4. Step 4: Simplify right side
    11.97x = 549.32
  5. Step 5: Solve for x
    x = 549.32/11.97
  6. Step 6: Final answer
    x = 45.90

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.