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Finding the Third Proportional to 2,450.25 and 5,296.50

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Solution

The third proportional to 2,450.25 and 5,296.50 is: 11,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.25 : 5,296.50 = 5,296.50 : x
  2. Step 2: Convert to fraction form
    2,450.25/5,296.50 = 5,296.50/x
  3. Step 3: Cross multiply
    2,450.25x = 5,296.50 × 5,296.50
  4. Step 4: Simplify right side
    2,450.25x = 28,052,912.25
  5. Step 5: Solve for x
    x = 28,052,912.25/2,450.25
  6. Step 6: Final answer
    x = 11,449

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.