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Finding the Third Proportional to 2,447.56 and 5,202.67

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Solution

The third proportional to 2,447.56 and 5,202.67 is: 11,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.56 : 5,202.67 = 5,202.67 : x
  2. Step 2: Convert to fraction form
    2,447.56/5,202.67 = 5,202.67/x
  3. Step 3: Cross multiply
    2,447.56x = 5,202.67 × 5,202.67
  4. Step 4: Simplify right side
    2,447.56x = 27,067,753.99
  5. Step 5: Solve for x
    x = 27,067,753.99/2,447.56
  6. Step 6: Final answer
    x = 11,059.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.