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Finding the Third Proportional to 19,802 and 41,234

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Solution

The third proportional to 19,802 and 41,234 is: 85,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802 : 41,234 = 41,234 : x
  2. Step 2: Convert to fraction form
    19,802/41,234 = 41,234/x
  3. Step 3: Cross multiply
    19,802x = 41,234 × 41,234
  4. Step 4: Simplify right side
    19,802x = 1,700,242,756
  5. Step 5: Solve for x
    x = 1,700,242,756/19,802
  6. Step 6: Final answer
    x = 85,862.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.