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Finding the Third Proportional to 17,894 and 38,098

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Solution

The third proportional to 17,894 and 38,098 is: 81,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894 : 38,098 = 38,098 : x
  2. Step 2: Convert to fraction form
    17,894/38,098 = 38,098/x
  3. Step 3: Cross multiply
    17,894x = 38,098 × 38,098
  4. Step 4: Simplify right side
    17,894x = 1,451,457,604
  5. Step 5: Solve for x
    x = 1,451,457,604/17,894
  6. Step 6: Final answer
    x = 81,114.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.