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Finding the Third Proportional to 33,022.85 and 70,325.72

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Solution

The third proportional to 33,022.85 and 70,325.72 is: 149,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.85 : 70,325.72 = 70,325.72 : x
  2. Step 2: Convert to fraction form
    33,022.85/70,325.72 = 70,325.72/x
  3. Step 3: Cross multiply
    33,022.85x = 70,325.72 × 70,325.72
  4. Step 4: Simplify right side
    33,022.85x = 4,945,706,717.70
  5. Step 5: Solve for x
    x = 4,945,706,717.70/33,022.85
  6. Step 6: Final answer
    x = 149,766.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.