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Finding the Third Proportional to 17,317 and 37,670

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Solution

The third proportional to 17,317 and 37,670 is: 81,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,317 : 37,670 = 37,670 : x
  2. Step 2: Convert to fraction form
    17,317/37,670 = 37,670/x
  3. Step 3: Cross multiply
    17,317x = 37,670 × 37,670
  4. Step 4: Simplify right side
    17,317x = 1,419,028,900
  5. Step 5: Solve for x
    x = 1,419,028,900/17,317
  6. Step 6: Final answer
    x = 81,944.27

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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.