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Finding the Third Proportional to 31,700.25 and 66,936.75

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Solution

The third proportional to 31,700.25 and 66,936.75 is: 141,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.25 : 66,936.75 = 66,936.75 : x
  2. Step 2: Convert to fraction form
    31,700.25/66,936.75 = 66,936.75/x
  3. Step 3: Cross multiply
    31,700.25x = 66,936.75 × 66,936.75
  4. Step 4: Simplify right side
    31,700.25x = 4,480,528,500.56
  5. Step 5: Solve for x
    x = 4,480,528,500.56/31,700.25
  6. Step 6: Final answer
    x = 141,340.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.