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Finding the Third Proportional to 20,601 and 30,831

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Solution

The third proportional to 20,601 and 30,831 is: 46,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601 : 30,831 = 30,831 : x
  2. Step 2: Convert to fraction form
    20,601/30,831 = 30,831/x
  3. Step 3: Cross multiply
    20,601x = 30,831 × 30,831
  4. Step 4: Simplify right side
    20,601x = 950,550,561
  5. Step 5: Solve for x
    x = 950,550,561/20,601
  6. Step 6: Final answer
    x = 46,140.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.