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Finding the Third Proportional to 24,198 and 36,296

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Solution

The third proportional to 24,198 and 36,296 is: 54,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 36,296 = 36,296 : x
  2. Step 2: Convert to fraction form
    24,198/36,296 = 36,296/x
  3. Step 3: Cross multiply
    24,198x = 36,296 × 36,296
  4. Step 4: Simplify right side
    24,198x = 1,317,399,616
  5. Step 5: Solve for x
    x = 1,317,399,616/24,198
  6. Step 6: Final answer
    x = 54,442.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.