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Finding the Third Proportional to 19,834 and 41,311

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Solution

The third proportional to 19,834 and 41,311 is: 86,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 41,311 = 41,311 : x
  2. Step 2: Convert to fraction form
    19,834/41,311 = 41,311/x
  3. Step 3: Cross multiply
    19,834x = 41,311 × 41,311
  4. Step 4: Simplify right side
    19,834x = 1,706,598,721
  5. Step 5: Solve for x
    x = 1,706,598,721/19,834
  6. Step 6: Final answer
    x = 86,044.10

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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.