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Finding the Third Proportional to 22.75 and 38.38

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Solution

The third proportional to 22.75 and 38.38 is: 64.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 38.38 = 38.38 : x
  2. Step 2: Convert to fraction form
    22.75/38.38 = 38.38/x
  3. Step 3: Cross multiply
    22.75x = 38.38 × 38.38
  4. Step 4: Simplify right side
    22.75x = 1,472.64
  5. Step 5: Solve for x
    x = 1,472.64/22.75
  6. Step 6: Final answer
    x = 64.73

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.