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Finding the Third Proportional to 13,694 and 19,568

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Solution

The third proportional to 13,694 and 19,568 is: 27,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694 : 19,568 = 19,568 : x
  2. Step 2: Convert to fraction form
    13,694/19,568 = 19,568/x
  3. Step 3: Cross multiply
    13,694x = 19,568 × 19,568
  4. Step 4: Simplify right side
    13,694x = 382,906,624
  5. Step 5: Solve for x
    x = 382,906,624/13,694
  6. Step 6: Final answer
    x = 27,961.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.