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Finding the Third Proportional to 3,832.50 and 9,258.75

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Solution

The third proportional to 3,832.50 and 9,258.75 is: 22,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.50 : 9,258.75 = 9,258.75 : x
  2. Step 2: Convert to fraction form
    3,832.50/9,258.75 = 9,258.75/x
  3. Step 3: Cross multiply
    3,832.50x = 9,258.75 × 9,258.75
  4. Step 4: Simplify right side
    3,832.50x = 85,724,451.56
  5. Step 5: Solve for x
    x = 85,724,451.56/3,832.50
  6. Step 6: Final answer
    x = 22,367.76

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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.