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Finding the Third Proportional to 22.78 and 29.74

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Solution

The third proportional to 22.78 and 29.74 is: 38.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 29.74 = 29.74 : x
  2. Step 2: Convert to fraction form
    22.78/29.74 = 29.74/x
  3. Step 3: Cross multiply
    22.78x = 29.74 × 29.74
  4. Step 4: Simplify right side
    22.78x = 884.60
  5. Step 5: Solve for x
    x = 884.60/22.78
  6. Step 6: Final answer
    x = 38.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.