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Finding the Third Proportional to 19,400 and 41,894

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Solution

The third proportional to 19,400 and 41,894 is: 90,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 41,894 = 41,894 : x
  2. Step 2: Convert to fraction form
    19,400/41,894 = 41,894/x
  3. Step 3: Cross multiply
    19,400x = 41,894 × 41,894
  4. Step 4: Simplify right side
    19,400x = 1,755,107,236
  5. Step 5: Solve for x
    x = 1,755,107,236/19,400
  6. Step 6: Final answer
    x = 90,469.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.