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Finding the Third Proportional to 33,259.50 and 68,072.75

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Solution

The third proportional to 33,259.50 and 68,072.75 is: 139,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259.50 : 68,072.75 = 68,072.75 : x
  2. Step 2: Convert to fraction form
    33,259.50/68,072.75 = 68,072.75/x
  3. Step 3: Cross multiply
    33,259.50x = 68,072.75 × 68,072.75
  4. Step 4: Simplify right side
    33,259.50x = 4,633,899,292.56
  5. Step 5: Solve for x
    x = 4,633,899,292.56/33,259.50
  6. Step 6: Final answer
    x = 139,325.58

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.