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Finding the Third Proportional to 23 and 41.69

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Solution

The third proportional to 23 and 41.69 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 41.69 = 41.69 : x
  2. Step 2: Convert to fraction form
    23/41.69 = 41.69/x
  3. Step 3: Cross multiply
    23x = 41.69 × 41.69
  4. Step 4: Simplify right side
    23x = 1,737.85
  5. Step 5: Solve for x
    x = 1,737.85/23
  6. Step 6: Final answer
    x = 75.56

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.