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Finding the Third Proportional to 33,237.75 and 72,733.50

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Solution

The third proportional to 33,237.75 and 72,733.50 is: 159,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.75 : 72,733.50 = 72,733.50 : x
  2. Step 2: Convert to fraction form
    33,237.75/72,733.50 = 72,733.50/x
  3. Step 3: Cross multiply
    33,237.75x = 72,733.50 × 72,733.50
  4. Step 4: Simplify right side
    33,237.75x = 5,290,162,022.25
  5. Step 5: Solve for x
    x = 5,290,162,022.25/33,237.75
  6. Step 6: Final answer
    x = 159,161.26

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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.