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Finding the Third Proportional to 33,203.67 and 71,328.09

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Solution

The third proportional to 33,203.67 and 71,328.09 is: 153,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.67 : 71,328.09 = 71,328.09 : x
  2. Step 2: Convert to fraction form
    33,203.67/71,328.09 = 71,328.09/x
  3. Step 3: Cross multiply
    33,203.67x = 71,328.09 × 71,328.09
  4. Step 4: Simplify right side
    33,203.67x = 5,087,696,958.01
  5. Step 5: Solve for x
    x = 5,087,696,958.01/33,203.67
  6. Step 6: Final answer
    x = 153,226.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.