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Finding the Third Proportional to 13,540 and 19,694

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Solution

The third proportional to 13,540 and 19,694 is: 28,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540 : 19,694 = 19,694 : x
  2. Step 2: Convert to fraction form
    13,540/19,694 = 19,694/x
  3. Step 3: Cross multiply
    13,540x = 19,694 × 19,694
  4. Step 4: Simplify right side
    13,540x = 387,853,636
  5. Step 5: Solve for x
    x = 387,853,636/13,540
  6. Step 6: Final answer
    x = 28,645.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.