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Finding the Third Proportional to 2,410.31 and 5,247.56

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Solution

The third proportional to 2,410.31 and 5,247.56 is: 11,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.31 : 5,247.56 = 5,247.56 : x
  2. Step 2: Convert to fraction form
    2,410.31/5,247.56 = 5,247.56/x
  3. Step 3: Cross multiply
    2,410.31x = 5,247.56 × 5,247.56
  4. Step 4: Simplify right side
    2,410.31x = 27,536,912.19
  5. Step 5: Solve for x
    x = 27,536,912.19/2,410.31
  6. Step 6: Final answer
    x = 11,424.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.