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Finding the Third Proportional to 23,599 and 36,218

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Solution

The third proportional to 23,599 and 36,218 is: 55,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599 : 36,218 = 36,218 : x
  2. Step 2: Convert to fraction form
    23,599/36,218 = 36,218/x
  3. Step 3: Cross multiply
    23,599x = 36,218 × 36,218
  4. Step 4: Simplify right side
    23,599x = 1,311,743,524
  5. Step 5: Solve for x
    x = 1,311,743,524/23,599
  6. Step 6: Final answer
    x = 55,584.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.