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Finding the Third Proportional to 33,081.75 and 78,082.31

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Solution

The third proportional to 33,081.75 and 78,082.31 is: 184,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.75 : 78,082.31 = 78,082.31 : x
  2. Step 2: Convert to fraction form
    33,081.75/78,082.31 = 78,082.31/x
  3. Step 3: Cross multiply
    33,081.75x = 78,082.31 × 78,082.31
  4. Step 4: Simplify right side
    33,081.75x = 6,096,847,525.35
  5. Step 5: Solve for x
    x = 6,096,847,525.35/33,081.75
  6. Step 6: Final answer
    x = 184,296.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.