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Finding the Third Proportional to 12,198 and 24,927

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Solution

The third proportional to 12,198 and 24,927 is: 50,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 24,927 = 24,927 : x
  2. Step 2: Convert to fraction form
    12,198/24,927 = 24,927/x
  3. Step 3: Cross multiply
    12,198x = 24,927 × 24,927
  4. Step 4: Simplify right side
    12,198x = 621,355,329
  5. Step 5: Solve for x
    x = 621,355,329/12,198
  6. Step 6: Final answer
    x = 50,939.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.