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Finding the Third Proportional to 23.91 and 44.41

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Solution

The third proportional to 23.91 and 44.41 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 44.41 = 44.41 : x
  2. Step 2: Convert to fraction form
    23.91/44.41 = 44.41/x
  3. Step 3: Cross multiply
    23.91x = 44.41 × 44.41
  4. Step 4: Simplify right side
    23.91x = 1,971.92
  5. Step 5: Solve for x
    x = 1,971.92/23.91
  6. Step 6: Final answer
    x = 82.49

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.