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Finding the Third Proportional to 43,082.25 and 66,203.25

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Solution

The third proportional to 43,082.25 and 66,203.25 is: 101,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082.25 : 66,203.25 = 66,203.25 : x
  2. Step 2: Convert to fraction form
    43,082.25/66,203.25 = 66,203.25/x
  3. Step 3: Cross multiply
    43,082.25x = 66,203.25 × 66,203.25
  4. Step 4: Simplify right side
    43,082.25x = 4,382,870,310.56
  5. Step 5: Solve for x
    x = 4,382,870,310.56/43,082.25
  6. Step 6: Final answer
    x = 101,732.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.