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Finding the Third Proportional to 37,965.75 and 83,082.75

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Solution

The third proportional to 37,965.75 and 83,082.75 is: 181,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,965.75 : 83,082.75 = 83,082.75 : x
  2. Step 2: Convert to fraction form
    37,965.75/83,082.75 = 83,082.75/x
  3. Step 3: Cross multiply
    37,965.75x = 83,082.75 × 83,082.75
  4. Step 4: Simplify right side
    37,965.75x = 6,902,743,347.56
  5. Step 5: Solve for x
    x = 6,902,743,347.56/37,965.75
  6. Step 6: Final answer
    x = 181,815.01

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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.