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Finding the Third Proportional to 22.38 and 33.17

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Solution

The third proportional to 22.38 and 33.17 is: 49.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.38 : 33.17 = 33.17 : x
  2. Step 2: Convert to fraction form
    22.38/33.17 = 33.17/x
  3. Step 3: Cross multiply
    22.38x = 33.17 × 33.17
  4. Step 4: Simplify right side
    22.38x = 1,100.37
  5. Step 5: Solve for x
    x = 1,100.37/22.38
  6. Step 6: Final answer
    x = 49.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.