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Finding the Third Proportional to 13,942.13 and 33,081.75

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Solution

The third proportional to 13,942.13 and 33,081.75 is: 78,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.13 : 33,081.75 = 33,081.75 : x
  2. Step 2: Convert to fraction form
    13,942.13/33,081.75 = 33,081.75/x
  3. Step 3: Cross multiply
    13,942.13x = 33,081.75 × 33,081.75
  4. Step 4: Simplify right side
    13,942.13x = 1,094,402,183.06
  5. Step 5: Solve for x
    x = 1,094,402,183.06/13,942.13
  6. Step 6: Final answer
    x = 78,496.08

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.