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Finding the Third Proportional to 20,831 and 32,477

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Solution

The third proportional to 20,831 and 32,477 is: 50,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831 : 32,477 = 32,477 : x
  2. Step 2: Convert to fraction form
    20,831/32,477 = 32,477/x
  3. Step 3: Cross multiply
    20,831x = 32,477 × 32,477
  4. Step 4: Simplify right side
    20,831x = 1,054,755,529
  5. Step 5: Solve for x
    x = 1,054,755,529/20,831
  6. Step 6: Final answer
    x = 50,633.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.