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Finding the Third Proportional to 22.26 and 24.90

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Solution

The third proportional to 22.26 and 24.90 is: 27.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.26 : 24.90 = 24.90 : x
  2. Step 2: Convert to fraction form
    22.26/24.90 = 24.90/x
  3. Step 3: Cross multiply
    22.26x = 24.90 × 24.90
  4. Step 4: Simplify right side
    22.26x = 619.92
  5. Step 5: Solve for x
    x = 619.92/22.26
  6. Step 6: Final answer
    x = 27.85

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.