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Finding the Third Proportional to 20,333 and 31,868

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Solution

The third proportional to 20,333 and 31,868 is: 49,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,333 : 31,868 = 31,868 : x
  2. Step 2: Convert to fraction form
    20,333/31,868 = 31,868/x
  3. Step 3: Cross multiply
    20,333x = 31,868 × 31,868
  4. Step 4: Simplify right side
    20,333x = 1,015,569,424
  5. Step 5: Solve for x
    x = 1,015,569,424/20,333
  6. Step 6: Final answer
    x = 49,946.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.