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Finding the Third Proportional to 17,674 and 38,057

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Solution

The third proportional to 17,674 and 38,057 is: 81,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674 : 38,057 = 38,057 : x
  2. Step 2: Convert to fraction form
    17,674/38,057 = 38,057/x
  3. Step 3: Cross multiply
    17,674x = 38,057 × 38,057
  4. Step 4: Simplify right side
    17,674x = 1,448,335,249
  5. Step 5: Solve for x
    x = 1,448,335,249/17,674
  6. Step 6: Final answer
    x = 81,947.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.