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Finding the Third Proportional to 2,206.13 and 2,996.44

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Solution

The third proportional to 2,206.13 and 2,996.44 is: 4,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.13 : 2,996.44 = 2,996.44 : x
  2. Step 2: Convert to fraction form
    2,206.13/2,996.44 = 2,996.44/x
  3. Step 3: Cross multiply
    2,206.13x = 2,996.44 × 2,996.44
  4. Step 4: Simplify right side
    2,206.13x = 8,978,637.69
  5. Step 5: Solve for x
    x = 8,978,637.69/2,206.13
  6. Step 6: Final answer
    x = 4,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.