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Finding the Third Proportional to 3,837 and 5,867.25

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Solution

The third proportional to 3,837 and 5,867.25 is: 8,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,867.25 = 5,867.25 : x
  2. Step 2: Convert to fraction form
    3,837/5,867.25 = 5,867.25/x
  3. Step 3: Cross multiply
    3,837x = 5,867.25 × 5,867.25
  4. Step 4: Simplify right side
    3,837x = 34,424,622.56
  5. Step 5: Solve for x
    x = 34,424,622.56/3,837
  6. Step 6: Final answer
    x = 8,971.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.