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Finding the Third Proportional to 33,180.05 and 71,894.67

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Solution

The third proportional to 33,180.05 and 71,894.67 is: 155,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.05 : 71,894.67 = 71,894.67 : x
  2. Step 2: Convert to fraction form
    33,180.05/71,894.67 = 71,894.67/x
  3. Step 3: Cross multiply
    33,180.05x = 71,894.67 × 71,894.67
  4. Step 4: Simplify right side
    33,180.05x = 5,168,843,844.01
  5. Step 5: Solve for x
    x = 5,168,843,844.01/33,180.05
  6. Step 6: Final answer
    x = 155,781.69

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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.