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Finding the Third Proportional to 31,796.75 and 69,060.75

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Solution

The third proportional to 31,796.75 and 69,060.75 is: 149,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.75 : 69,060.75 = 69,060.75 : x
  2. Step 2: Convert to fraction form
    31,796.75/69,060.75 = 69,060.75/x
  3. Step 3: Cross multiply
    31,796.75x = 69,060.75 × 69,060.75
  4. Step 4: Simplify right side
    31,796.75x = 4,769,387,190.56
  5. Step 5: Solve for x
    x = 4,769,387,190.56/31,796.75
  6. Step 6: Final answer
    x = 149,996.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.