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Finding the Third Proportional to 32,874.75 and 72,033.75

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Solution

The third proportional to 32,874.75 and 72,033.75 is: 157,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.75 : 72,033.75 = 72,033.75 : x
  2. Step 2: Convert to fraction form
    32,874.75/72,033.75 = 72,033.75/x
  3. Step 3: Cross multiply
    32,874.75x = 72,033.75 × 72,033.75
  4. Step 4: Simplify right side
    32,874.75x = 5,188,861,139.06
  5. Step 5: Solve for x
    x = 5,188,861,139.06/32,874.75
  6. Step 6: Final answer
    x = 157,837.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.