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Finding the Third Proportional to 33,809.91 and 72,310.22

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Solution

The third proportional to 33,809.91 and 72,310.22 is: 154,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809.91 : 72,310.22 = 72,310.22 : x
  2. Step 2: Convert to fraction form
    33,809.91/72,310.22 = 72,310.22/x
  3. Step 3: Cross multiply
    33,809.91x = 72,310.22 × 72,310.22
  4. Step 4: Simplify right side
    33,809.91x = 5,228,767,735.67
  5. Step 5: Solve for x
    x = 5,228,767,735.67/33,809.91
  6. Step 6: Final answer
    x = 154,651.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.