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Finding the Third Proportional to 12,198 and 24,972

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Solution

The third proportional to 12,198 and 24,972 is: 51,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 24,972 = 24,972 : x
  2. Step 2: Convert to fraction form
    12,198/24,972 = 24,972/x
  3. Step 3: Cross multiply
    12,198x = 24,972 × 24,972
  4. Step 4: Simplify right side
    12,198x = 623,600,784
  5. Step 5: Solve for x
    x = 623,600,784/12,198
  6. Step 6: Final answer
    x = 51,123.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.