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Finding the Third Proportional to 30,731 and 67,933

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Solution

The third proportional to 30,731 and 67,933 is: 150,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731 : 67,933 = 67,933 : x
  2. Step 2: Convert to fraction form
    30,731/67,933 = 67,933/x
  3. Step 3: Cross multiply
    30,731x = 67,933 × 67,933
  4. Step 4: Simplify right side
    30,731x = 4,614,892,489
  5. Step 5: Solve for x
    x = 4,614,892,489/30,731
  6. Step 6: Final answer
    x = 150,170.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.