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Finding the Third Proportional to 17,429 and 38,193

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Solution

The third proportional to 17,429 and 38,193 is: 83,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429 : 38,193 = 38,193 : x
  2. Step 2: Convert to fraction form
    17,429/38,193 = 38,193/x
  3. Step 3: Cross multiply
    17,429x = 38,193 × 38,193
  4. Step 4: Simplify right side
    17,429x = 1,458,705,249
  5. Step 5: Solve for x
    x = 1,458,705,249/17,429
  6. Step 6: Final answer
    x = 83,694.14

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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.