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Finding the Third Proportional to 2,280.94 and 4,912.88

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Solution

The third proportional to 2,280.94 and 4,912.88 is: 10,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.94 : 4,912.88 = 4,912.88 : x
  2. Step 2: Convert to fraction form
    2,280.94/4,912.88 = 4,912.88/x
  3. Step 3: Cross multiply
    2,280.94x = 4,912.88 × 4,912.88
  4. Step 4: Simplify right side
    2,280.94x = 24,136,340.77
  5. Step 5: Solve for x
    x = 24,136,340.77/2,280.94
  6. Step 6: Final answer
    x = 10,581.76

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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.