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Finding the Third Proportional to 33,685.88 and 73,348.03

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Solution

The third proportional to 33,685.88 and 73,348.03 is: 159,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685.88 : 73,348.03 = 73,348.03 : x
  2. Step 2: Convert to fraction form
    33,685.88/73,348.03 = 73,348.03/x
  3. Step 3: Cross multiply
    33,685.88x = 73,348.03 × 73,348.03
  4. Step 4: Simplify right side
    33,685.88x = 5,379,933,688.25
  5. Step 5: Solve for x
    x = 5,379,933,688.25/33,685.88
  6. Step 6: Final answer
    x = 159,708.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.