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Finding the Third Proportional to 23.66 and 51.23

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Solution

The third proportional to 23.66 and 51.23 is: 110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.66 : 51.23 = 51.23 : x
  2. Step 2: Convert to fraction form
    23.66/51.23 = 51.23/x
  3. Step 3: Cross multiply
    23.66x = 51.23 × 51.23
  4. Step 4: Simplify right side
    23.66x = 2,624.09
  5. Step 5: Solve for x
    x = 2,624.09/23.66
  6. Step 6: Final answer
    x = 110.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.