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Finding the Third Proportional to 39,366 and 86,082.75

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Solution

The third proportional to 39,366 and 86,082.75 is: 188,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,366 : 86,082.75 = 86,082.75 : x
  2. Step 2: Convert to fraction form
    39,366/86,082.75 = 86,082.75/x
  3. Step 3: Cross multiply
    39,366x = 86,082.75 × 86,082.75
  4. Step 4: Simplify right side
    39,366x = 7,410,239,847.56
  5. Step 5: Solve for x
    x = 7,410,239,847.56/39,366
  6. Step 6: Final answer
    x = 188,239.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.