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Finding the Third Proportional to 33,532 and 72,508.75

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Solution

The third proportional to 33,532 and 72,508.75 is: 156,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,532 : 72,508.75 = 72,508.75 : x
  2. Step 2: Convert to fraction form
    33,532/72,508.75 = 72,508.75/x
  3. Step 3: Cross multiply
    33,532x = 72,508.75 × 72,508.75
  4. Step 4: Simplify right side
    33,532x = 5,257,518,826.56
  5. Step 5: Solve for x
    x = 5,257,518,826.56/33,532
  6. Step 6: Final answer
    x = 156,791.09

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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.