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Finding the Third Proportional to 5,230.25 and 11,497.25

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Solution

The third proportional to 5,230.25 and 11,497.25 is: 25,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.25 : 11,497.25 = 11,497.25 : x
  2. Step 2: Convert to fraction form
    5,230.25/11,497.25 = 11,497.25/x
  3. Step 3: Cross multiply
    5,230.25x = 11,497.25 × 11,497.25
  4. Step 4: Simplify right side
    5,230.25x = 132,186,757.56
  5. Step 5: Solve for x
    x = 132,186,757.56/5,230.25
  6. Step 6: Final answer
    x = 25,273.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.