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Finding the Third Proportional to 23.62 and 51.15

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Solution

The third proportional to 23.62 and 51.15 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.62 : 51.15 = 51.15 : x
  2. Step 2: Convert to fraction form
    23.62/51.15 = 51.15/x
  3. Step 3: Cross multiply
    23.62x = 51.15 × 51.15
  4. Step 4: Simplify right side
    23.62x = 2,616.21
  5. Step 5: Solve for x
    x = 2,616.21/23.62
  6. Step 6: Final answer
    x = 110.74

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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.