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Finding the Third Proportional to 22.29 and 33.36

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Solution

The third proportional to 22.29 and 33.36 is: 49.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.29 : 33.36 = 33.36 : x
  2. Step 2: Convert to fraction form
    22.29/33.36 = 33.36/x
  3. Step 3: Cross multiply
    22.29x = 33.36 × 33.36
  4. Step 4: Simplify right side
    22.29x = 1,113.11
  5. Step 5: Solve for x
    x = 1,113.11/22.29
  6. Step 6: Final answer
    x = 49.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.