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Finding the Third Proportional to 5,190.75 and 11,202.75

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Solution

The third proportional to 5,190.75 and 11,202.75 is: 24,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 11,202.75 = 11,202.75 : x
  2. Step 2: Convert to fraction form
    5,190.75/11,202.75 = 11,202.75/x
  3. Step 3: Cross multiply
    5,190.75x = 11,202.75 × 11,202.75
  4. Step 4: Simplify right side
    5,190.75x = 125,501,607.56
  5. Step 5: Solve for x
    x = 125,501,607.56/5,190.75
  6. Step 6: Final answer
    x = 24,177.93

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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.