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Finding the Third Proportional to 31,696.31 and 69,027.19

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Solution

The third proportional to 31,696.31 and 69,027.19 is: 150,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.31 : 69,027.19 = 69,027.19 : x
  2. Step 2: Convert to fraction form
    31,696.31/69,027.19 = 69,027.19/x
  3. Step 3: Cross multiply
    31,696.31x = 69,027.19 × 69,027.19
  4. Step 4: Simplify right side
    31,696.31x = 4,764,752,614.16
  5. Step 5: Solve for x
    x = 4,764,752,614.16/31,696.31
  6. Step 6: Final answer
    x = 150,325.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.