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Finding the Third Proportional to 2,216.11 and 5,266.90

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Solution

The third proportional to 2,216.11 and 5,266.90 is: 12,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.11 : 5,266.90 = 5,266.90 : x
  2. Step 2: Convert to fraction form
    2,216.11/5,266.90 = 5,266.90/x
  3. Step 3: Cross multiply
    2,216.11x = 5,266.90 × 5,266.90
  4. Step 4: Simplify right side
    2,216.11x = 27,740,219.15
  5. Step 5: Solve for x
    x = 27,740,219.15/2,216.11
  6. Step 6: Final answer
    x = 12,517.53

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.