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Finding the Third Proportional to 23.62 and 34.54

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Solution

The third proportional to 23.62 and 34.54 is: 50.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.62 : 34.54 = 34.54 : x
  2. Step 2: Convert to fraction form
    23.62/34.54 = 34.54/x
  3. Step 3: Cross multiply
    23.62x = 34.54 × 34.54
  4. Step 4: Simplify right side
    23.62x = 1,192.73
  5. Step 5: Solve for x
    x = 1,192.73/23.62
  6. Step 6: Final answer
    x = 50.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.