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Finding the Third Proportional to 2,010.94 and 4,311.84

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Solution

The third proportional to 2,010.94 and 4,311.84 is: 9,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.94 : 4,311.84 = 4,311.84 : x
  2. Step 2: Convert to fraction form
    2,010.94/4,311.84 = 4,311.84/x
  3. Step 3: Cross multiply
    2,010.94x = 4,311.84 × 4,311.84
  4. Step 4: Simplify right side
    2,010.94x = 18,591,996.52
  5. Step 5: Solve for x
    x = 18,591,996.52/2,010.94
  6. Step 6: Final answer
    x = 9,245.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.