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Finding the Third Proportional to 6,194 and 13,698

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Solution

The third proportional to 6,194 and 13,698 is: 30,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 13,698 = 13,698 : x
  2. Step 2: Convert to fraction form
    6,194/13,698 = 13,698/x
  3. Step 3: Cross multiply
    6,194x = 13,698 × 13,698
  4. Step 4: Simplify right side
    6,194x = 187,635,204
  5. Step 5: Solve for x
    x = 187,635,204/6,194
  6. Step 6: Final answer
    x = 30,293.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.