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Finding the Third Proportional to 17,424 and 38,183

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Solution

The third proportional to 17,424 and 38,183 is: 83,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 38,183 = 38,183 : x
  2. Step 2: Convert to fraction form
    17,424/38,183 = 38,183/x
  3. Step 3: Cross multiply
    17,424x = 38,183 × 38,183
  4. Step 4: Simplify right side
    17,424x = 1,457,941,489
  5. Step 5: Solve for x
    x = 1,457,941,489/17,424
  6. Step 6: Final answer
    x = 83,674.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.