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Finding the Third Proportional to 12.06 and 22.75

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Solution

The third proportional to 12.06 and 22.75 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.06 : 22.75 = 22.75 : x
  2. Step 2: Convert to fraction form
    12.06/22.75 = 22.75/x
  3. Step 3: Cross multiply
    12.06x = 22.75 × 22.75
  4. Step 4: Simplify right side
    12.06x = 517.56
  5. Step 5: Solve for x
    x = 517.56/12.06
  6. Step 6: Final answer
    x = 42.91

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.