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Finding the Third Proportional to 3,837 and 9,286.50

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Solution

The third proportional to 3,837 and 9,286.50 is: 22,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 9,286.50 = 9,286.50 : x
  2. Step 2: Convert to fraction form
    3,837/9,286.50 = 9,286.50/x
  3. Step 3: Cross multiply
    3,837x = 9,286.50 × 9,286.50
  4. Step 4: Simplify right side
    3,837x = 86,239,082.25
  5. Step 5: Solve for x
    x = 86,239,082.25/3,837
  6. Step 6: Final answer
    x = 22,475.65

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.