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Finding the Third Proportional to 20,261 and 31,622

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Solution

The third proportional to 20,261 and 31,622 is: 49,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261 : 31,622 = 31,622 : x
  2. Step 2: Convert to fraction form
    20,261/31,622 = 31,622/x
  3. Step 3: Cross multiply
    20,261x = 31,622 × 31,622
  4. Step 4: Simplify right side
    20,261x = 999,950,884
  5. Step 5: Solve for x
    x = 999,950,884/20,261
  6. Step 6: Final answer
    x = 49,353.48

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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.