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Finding the Third Proportional to 22.31 and 33.94

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Solution

The third proportional to 22.31 and 33.94 is: 51.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.31 : 33.94 = 33.94 : x
  2. Step 2: Convert to fraction form
    22.31/33.94 = 33.94/x
  3. Step 3: Cross multiply
    22.31x = 33.94 × 33.94
  4. Step 4: Simplify right side
    22.31x = 1,151.75
  5. Step 5: Solve for x
    x = 1,151.75/22.31
  6. Step 6: Final answer
    x = 51.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.