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Finding the Third Proportional to 20,631 and 31,137

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Solution

The third proportional to 20,631 and 31,137 is: 46,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631 : 31,137 = 31,137 : x
  2. Step 2: Convert to fraction form
    20,631/31,137 = 31,137/x
  3. Step 3: Cross multiply
    20,631x = 31,137 × 31,137
  4. Step 4: Simplify right side
    20,631x = 969,512,769
  5. Step 5: Solve for x
    x = 969,512,769/20,631
  6. Step 6: Final answer
    x = 46,993.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.