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Finding the Third Proportional to 38,213.50 and 61,906.50

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Solution

The third proportional to 38,213.50 and 61,906.50 is: 100,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.50 : 61,906.50 = 61,906.50 : x
  2. Step 2: Convert to fraction form
    38,213.50/61,906.50 = 61,906.50/x
  3. Step 3: Cross multiply
    38,213.50x = 61,906.50 × 61,906.50
  4. Step 4: Simplify right side
    38,213.50x = 3,832,414,742.25
  5. Step 5: Solve for x
    x = 3,832,414,742.25/38,213.50
  6. Step 6: Final answer
    x = 100,289.55

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.