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Finding the Third Proportional to 33,081.75 and 71,128.13

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Solution

The third proportional to 33,081.75 and 71,128.13 is: 152,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.75 : 71,128.13 = 71,128.13 : x
  2. Step 2: Convert to fraction form
    33,081.75/71,128.13 = 71,128.13/x
  3. Step 3: Cross multiply
    33,081.75x = 71,128.13 × 71,128.13
  4. Step 4: Simplify right side
    33,081.75x = 5,059,210,166.02
  5. Step 5: Solve for x
    x = 5,059,210,166.02/33,081.75
  6. Step 6: Final answer
    x = 152,930.55

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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.