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Finding the Third Proportional to 22.75 and 29.56

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Solution

The third proportional to 22.75 and 29.56 is: 38.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 29.56 = 29.56 : x
  2. Step 2: Convert to fraction form
    22.75/29.56 = 29.56/x
  3. Step 3: Cross multiply
    22.75x = 29.56 × 29.56
  4. Step 4: Simplify right side
    22.75x = 873.94
  5. Step 5: Solve for x
    x = 873.94/22.75
  6. Step 6: Final answer
    x = 38.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.