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Finding the Third Proportional to 15,884 and 33,823

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Solution

The third proportional to 15,884 and 33,823 is: 72,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 33,823 = 33,823 : x
  2. Step 2: Convert to fraction form
    15,884/33,823 = 33,823/x
  3. Step 3: Cross multiply
    15,884x = 33,823 × 33,823
  4. Step 4: Simplify right side
    15,884x = 1,143,995,329
  5. Step 5: Solve for x
    x = 1,143,995,329/15,884
  6. Step 6: Final answer
    x = 72,021.87

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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.