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Finding the Third Proportional to 11.42 and 23.46

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Solution

The third proportional to 11.42 and 23.46 is: 48.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.42 : 23.46 = 23.46 : x
  2. Step 2: Convert to fraction form
    11.42/23.46 = 23.46/x
  3. Step 3: Cross multiply
    11.42x = 23.46 × 23.46
  4. Step 4: Simplify right side
    11.42x = 550.37
  5. Step 5: Solve for x
    x = 550.37/11.42
  6. Step 6: Final answer
    x = 48.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.