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Finding the Third Proportional to 17,783 and 41,170

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Solution

The third proportional to 17,783 and 41,170 is: 95,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783 : 41,170 = 41,170 : x
  2. Step 2: Convert to fraction form
    17,783/41,170 = 41,170/x
  3. Step 3: Cross multiply
    17,783x = 41,170 × 41,170
  4. Step 4: Simplify right side
    17,783x = 1,694,968,900
  5. Step 5: Solve for x
    x = 1,694,968,900/17,783
  6. Step 6: Final answer
    x = 95,314.00

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.