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Finding the Third Proportional to 5,252.75 and 11,200.75

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Solution

The third proportional to 5,252.75 and 11,200.75 is: 23,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.75 : 11,200.75 = 11,200.75 : x
  2. Step 2: Convert to fraction form
    5,252.75/11,200.75 = 11,200.75/x
  3. Step 3: Cross multiply
    5,252.75x = 11,200.75 × 11,200.75
  4. Step 4: Simplify right side
    5,252.75x = 125,456,800.56
  5. Step 5: Solve for x
    x = 125,456,800.56/5,252.75
  6. Step 6: Final answer
    x = 23,884.02

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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.