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Finding the Third Proportional to 23.91 and 51.66

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Solution

The third proportional to 23.91 and 51.66 is: 111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 51.66 = 51.66 : x
  2. Step 2: Convert to fraction form
    23.91/51.66 = 51.66/x
  3. Step 3: Cross multiply
    23.91x = 51.66 × 51.66
  4. Step 4: Simplify right side
    23.91x = 2,668.37
  5. Step 5: Solve for x
    x = 2,668.37/23.91
  6. Step 6: Final answer
    x = 111.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.