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Finding the Third Proportional to 22.16 and 33.37

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Solution

The third proportional to 22.16 and 33.37 is: 50.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.16 : 33.37 = 33.37 : x
  2. Step 2: Convert to fraction form
    22.16/33.37 = 33.37/x
  3. Step 3: Cross multiply
    22.16x = 33.37 × 33.37
  4. Step 4: Simplify right side
    22.16x = 1,113.62
  5. Step 5: Solve for x
    x = 1,113.62/22.16
  6. Step 6: Final answer
    x = 50.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.