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Finding the Third Proportional to 31,773.75 and 69,081

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Solution

The third proportional to 31,773.75 and 69,081 is: 150,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.75 : 69,081 = 69,081 : x
  2. Step 2: Convert to fraction form
    31,773.75/69,081 = 69,081/x
  3. Step 3: Cross multiply
    31,773.75x = 69,081 × 69,081
  4. Step 4: Simplify right side
    31,773.75x = 4,772,184,561
  5. Step 5: Solve for x
    x = 4,772,184,561/31,773.75
  6. Step 6: Final answer
    x = 150,192.68

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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.