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Finding the Third Proportional to 20,856.75 and 43,439.25

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Solution

The third proportional to 20,856.75 and 43,439.25 is: 90,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.75 : 43,439.25 = 43,439.25 : x
  2. Step 2: Convert to fraction form
    20,856.75/43,439.25 = 43,439.25/x
  3. Step 3: Cross multiply
    20,856.75x = 43,439.25 × 43,439.25
  4. Step 4: Simplify right side
    20,856.75x = 1,886,968,440.56
  5. Step 5: Solve for x
    x = 1,886,968,440.56/20,856.75
  6. Step 6: Final answer
    x = 90,472.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.