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Finding the Third Proportional to 17,816 and 27,694

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Solution

The third proportional to 17,816 and 27,694 is: 43,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816 : 27,694 = 27,694 : x
  2. Step 2: Convert to fraction form
    17,816/27,694 = 27,694/x
  3. Step 3: Cross multiply
    17,816x = 27,694 × 27,694
  4. Step 4: Simplify right side
    17,816x = 766,957,636
  5. Step 5: Solve for x
    x = 766,957,636/17,816
  6. Step 6: Final answer
    x = 43,048.81

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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.