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Finding the Third Proportional to 31,619 and 66,721

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Solution

The third proportional to 31,619 and 66,721 is: 140,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619 : 66,721 = 66,721 : x
  2. Step 2: Convert to fraction form
    31,619/66,721 = 66,721/x
  3. Step 3: Cross multiply
    31,619x = 66,721 × 66,721
  4. Step 4: Simplify right side
    31,619x = 4,451,691,841
  5. Step 5: Solve for x
    x = 4,451,691,841/31,619
  6. Step 6: Final answer
    x = 140,791.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.