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Finding the Third Proportional to 17,170 and 35,443

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Solution

The third proportional to 17,170 and 35,443 is: 73,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170 : 35,443 = 35,443 : x
  2. Step 2: Convert to fraction form
    17,170/35,443 = 35,443/x
  3. Step 3: Cross multiply
    17,170x = 35,443 × 35,443
  4. Step 4: Simplify right side
    17,170x = 1,256,206,249
  5. Step 5: Solve for x
    x = 1,256,206,249/17,170
  6. Step 6: Final answer
    x = 73,162.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.