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Finding the Third Proportional to 31,962 and 50,031

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Solution

The third proportional to 31,962 and 50,031 is: 78,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962 : 50,031 = 50,031 : x
  2. Step 2: Convert to fraction form
    31,962/50,031 = 50,031/x
  3. Step 3: Cross multiply
    31,962x = 50,031 × 50,031
  4. Step 4: Simplify right side
    31,962x = 2,503,100,961
  5. Step 5: Solve for x
    x = 2,503,100,961/31,962
  6. Step 6: Final answer
    x = 78,314.90

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