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Finding the Third Proportional to 2,280.94 and 3,423.94

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Solution

The third proportional to 2,280.94 and 3,423.94 is: 5,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.94 : 3,423.94 = 3,423.94 : x
  2. Step 2: Convert to fraction form
    2,280.94/3,423.94 = 3,423.94/x
  3. Step 3: Cross multiply
    2,280.94x = 3,423.94 × 3,423.94
  4. Step 4: Simplify right side
    2,280.94x = 11,723,348.00
  5. Step 5: Solve for x
    x = 11,723,348.00/2,280.94
  6. Step 6: Final answer
    x = 5,139.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.