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Finding the Third Proportional to 17,047 and 37,193

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Solution

The third proportional to 17,047 and 37,193 is: 81,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047 : 37,193 = 37,193 : x
  2. Step 2: Convert to fraction form
    17,047/37,193 = 37,193/x
  3. Step 3: Cross multiply
    17,047x = 37,193 × 37,193
  4. Step 4: Simplify right side
    17,047x = 1,383,319,249
  5. Step 5: Solve for x
    x = 1,383,319,249/17,047
  6. Step 6: Final answer
    x = 81,147.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.