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Finding the Third Proportional to 5,237.25 and 11,399.25

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Solution

The third proportional to 5,237.25 and 11,399.25 is: 24,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.25 : 11,399.25 = 11,399.25 : x
  2. Step 2: Convert to fraction form
    5,237.25/11,399.25 = 11,399.25/x
  3. Step 3: Cross multiply
    5,237.25x = 11,399.25 × 11,399.25
  4. Step 4: Simplify right side
    5,237.25x = 129,942,900.56
  5. Step 5: Solve for x
    x = 129,942,900.56/5,237.25
  6. Step 6: Final answer
    x = 24,811.28

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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.