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Finding the Third Proportional to 23.26 and 34.22

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Solution

The third proportional to 23.26 and 34.22 is: 50.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.26 : 34.22 = 34.22 : x
  2. Step 2: Convert to fraction form
    23.26/34.22 = 34.22/x
  3. Step 3: Cross multiply
    23.26x = 34.22 × 34.22
  4. Step 4: Simplify right side
    23.26x = 1,170.92
  5. Step 5: Solve for x
    x = 1,170.92/23.26
  6. Step 6: Final answer
    x = 50.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.