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Finding the Third Proportional to 4,947.33 and 10,027.55

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Solution

The third proportional to 4,947.33 and 10,027.55 is: 20,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.33 : 10,027.55 = 10,027.55 : x
  2. Step 2: Convert to fraction form
    4,947.33/10,027.55 = 10,027.55/x
  3. Step 3: Cross multiply
    4,947.33x = 10,027.55 × 10,027.55
  4. Step 4: Simplify right side
    4,947.33x = 100,551,696.33
  5. Step 5: Solve for x
    x = 100,551,696.33/4,947.33
  6. Step 6: Final answer
    x = 20,324.44

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.