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Finding the Third Proportional to 17,834 and 38,137

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Solution

The third proportional to 17,834 and 38,137 is: 81,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834 : 38,137 = 38,137 : x
  2. Step 2: Convert to fraction form
    17,834/38,137 = 38,137/x
  3. Step 3: Cross multiply
    17,834x = 38,137 × 38,137
  4. Step 4: Simplify right side
    17,834x = 1,454,430,769
  5. Step 5: Solve for x
    x = 1,454,430,769/17,834
  6. Step 6: Final answer
    x = 81,553.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.