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Finding the Third Proportional to 31,169.25 and 66,804.75

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Solution

The third proportional to 31,169.25 and 66,804.75 is: 143,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.25 : 66,804.75 = 66,804.75 : x
  2. Step 2: Convert to fraction form
    31,169.25/66,804.75 = 66,804.75/x
  3. Step 3: Cross multiply
    31,169.25x = 66,804.75 × 66,804.75
  4. Step 4: Simplify right side
    31,169.25x = 4,462,874,622.56
  5. Step 5: Solve for x
    x = 4,462,874,622.56/31,169.25
  6. Step 6: Final answer
    x = 143,181.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.