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Finding the Third Proportional to 33,758.57 and 72,750.81

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Solution

The third proportional to 33,758.57 and 72,750.81 is: 156,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,758.57 : 72,750.81 = 72,750.81 : x
  2. Step 2: Convert to fraction form
    33,758.57/72,750.81 = 72,750.81/x
  3. Step 3: Cross multiply
    33,758.57x = 72,750.81 × 72,750.81
  4. Step 4: Simplify right side
    33,758.57x = 5,292,681,003.59
  5. Step 5: Solve for x
    x = 5,292,681,003.59/33,758.57
  6. Step 6: Final answer
    x = 156,780.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.