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Finding the Third Proportional to 33,855 and 73,359.50

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Solution

The third proportional to 33,855 and 73,359.50 is: 158,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,855 : 73,359.50 = 73,359.50 : x
  2. Step 2: Convert to fraction form
    33,855/73,359.50 = 73,359.50/x
  3. Step 3: Cross multiply
    33,855x = 73,359.50 × 73,359.50
  4. Step 4: Simplify right side
    33,855x = 5,381,616,240.25
  5. Step 5: Solve for x
    x = 5,381,616,240.25/33,855
  6. Step 6: Final answer
    x = 158,960.75

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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.