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Finding the Third Proportional to 17,354 and 37,849

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Solution

The third proportional to 17,354 and 37,849 is: 82,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,354 : 37,849 = 37,849 : x
  2. Step 2: Convert to fraction form
    17,354/37,849 = 37,849/x
  3. Step 3: Cross multiply
    17,354x = 37,849 × 37,849
  4. Step 4: Simplify right side
    17,354x = 1,432,546,801
  5. Step 5: Solve for x
    x = 1,432,546,801/17,354
  6. Step 6: Final answer
    x = 82,548.51

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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.