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Finding the Third Proportional to 20,529 and 44,339

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Solution

The third proportional to 20,529 and 44,339 is: 95,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529 : 44,339 = 44,339 : x
  2. Step 2: Convert to fraction form
    20,529/44,339 = 44,339/x
  3. Step 3: Cross multiply
    20,529x = 44,339 × 44,339
  4. Step 4: Simplify right side
    20,529x = 1,965,946,921
  5. Step 5: Solve for x
    x = 1,965,946,921/20,529
  6. Step 6: Final answer
    x = 95,764.38

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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.