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Finding the Third Proportional to 19,823 and 41,287

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Solution

The third proportional to 19,823 and 41,287 is: 85,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823 : 41,287 = 41,287 : x
  2. Step 2: Convert to fraction form
    19,823/41,287 = 41,287/x
  3. Step 3: Cross multiply
    19,823x = 41,287 × 41,287
  4. Step 4: Simplify right side
    19,823x = 1,704,616,369
  5. Step 5: Solve for x
    x = 1,704,616,369/19,823
  6. Step 6: Final answer
    x = 85,991.85

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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.