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Finding the Third Proportional to 2,232.56 and 4,908.94

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Solution

The third proportional to 2,232.56 and 4,908.94 is: 10,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 4,908.94 = 4,908.94 : x
  2. Step 2: Convert to fraction form
    2,232.56/4,908.94 = 4,908.94/x
  3. Step 3: Cross multiply
    2,232.56x = 4,908.94 × 4,908.94
  4. Step 4: Simplify right side
    2,232.56x = 24,097,667.38
  5. Step 5: Solve for x
    x = 24,097,667.38/2,232.56
  6. Step 6: Final answer
    x = 10,793.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.