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Finding the Third Proportional to 22.69 and 24.94

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Solution

The third proportional to 22.69 and 24.94 is: 27.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.69 : 24.94 = 24.94 : x
  2. Step 2: Convert to fraction form
    22.69/24.94 = 24.94/x
  3. Step 3: Cross multiply
    22.69x = 24.94 × 24.94
  4. Step 4: Simplify right side
    22.69x = 621.88
  5. Step 5: Solve for x
    x = 621.88/22.69
  6. Step 6: Final answer
    x = 27.41

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.