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Finding the Third Proportional to 11,202.75 and 16,546.50

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Solution

The third proportional to 11,202.75 and 16,546.50 is: 24,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.75 : 16,546.50 = 16,546.50 : x
  2. Step 2: Convert to fraction form
    11,202.75/16,546.50 = 16,546.50/x
  3. Step 3: Cross multiply
    11,202.75x = 16,546.50 × 16,546.50
  4. Step 4: Simplify right side
    11,202.75x = 273,786,662.25
  5. Step 5: Solve for x
    x = 273,786,662.25/11,202.75
  6. Step 6: Final answer
    x = 24,439.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.