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Finding the Third Proportional to 12,794 and 19,836

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Solution

The third proportional to 12,794 and 19,836 is: 30,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 19,836 = 19,836 : x
  2. Step 2: Convert to fraction form
    12,794/19,836 = 19,836/x
  3. Step 3: Cross multiply
    12,794x = 19,836 × 19,836
  4. Step 4: Simplify right side
    12,794x = 393,466,896
  5. Step 5: Solve for x
    x = 393,466,896/12,794
  6. Step 6: Final answer
    x = 30,754.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.