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Finding the Third Proportional to 2,280.56 and 4,912.92

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Solution

The third proportional to 2,280.56 and 4,912.92 is: 10,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.56 : 4,912.92 = 4,912.92 : x
  2. Step 2: Convert to fraction form
    2,280.56/4,912.92 = 4,912.92/x
  3. Step 3: Cross multiply
    2,280.56x = 4,912.92 × 4,912.92
  4. Step 4: Simplify right side
    2,280.56x = 24,136,801.35
  5. Step 5: Solve for x
    x = 24,136,801.35/2,280.56
  6. Step 6: Final answer
    x = 10,583.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.