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Finding the Third Proportional to 5.22 and 11.23

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Solution

The third proportional to 5.22 and 11.23 is: 24.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.22 : 11.23 = 11.23 : x
  2. Step 2: Convert to fraction form
    5.22/11.23 = 11.23/x
  3. Step 3: Cross multiply
    5.22x = 11.23 × 11.23
  4. Step 4: Simplify right side
    5.22x = 126.17
  5. Step 5: Solve for x
    x = 126.17/5.22
  6. Step 6: Final answer
    x = 24.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.