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Finding the Third Proportional to 33,916.50 and 73,671.50

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Solution

The third proportional to 33,916.50 and 73,671.50 is: 160,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,916.50 : 73,671.50 = 73,671.50 : x
  2. Step 2: Convert to fraction form
    33,916.50/73,671.50 = 73,671.50/x
  3. Step 3: Cross multiply
    33,916.50x = 73,671.50 × 73,671.50
  4. Step 4: Simplify right side
    33,916.50x = 5,427,489,912.25
  5. Step 5: Solve for x
    x = 5,427,489,912.25/33,916.50
  6. Step 6: Final answer
    x = 160,025.06

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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.