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Finding the Third Proportional to 23.91 and 42.52

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Solution

The third proportional to 23.91 and 42.52 is: 75.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 42.52 = 42.52 : x
  2. Step 2: Convert to fraction form
    23.91/42.52 = 42.52/x
  3. Step 3: Cross multiply
    23.91x = 42.52 × 42.52
  4. Step 4: Simplify right side
    23.91x = 1,807.58
  5. Step 5: Solve for x
    x = 1,807.58/23.91
  6. Step 6: Final answer
    x = 75.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.