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Finding the Third Proportional to 12,384 and 26,198

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Solution

The third proportional to 12,384 and 26,198 is: 55,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 26,198 = 26,198 : x
  2. Step 2: Convert to fraction form
    12,384/26,198 = 26,198/x
  3. Step 3: Cross multiply
    12,384x = 26,198 × 26,198
  4. Step 4: Simplify right side
    12,384x = 686,335,204
  5. Step 5: Solve for x
    x = 686,335,204/12,384
  6. Step 6: Final answer
    x = 55,421.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.