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Finding the Third Proportional to 7,471.50 and 11,201.25

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Solution

The third proportional to 7,471.50 and 11,201.25 is: 16,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.50 : 11,201.25 = 11,201.25 : x
  2. Step 2: Convert to fraction form
    7,471.50/11,201.25 = 11,201.25/x
  3. Step 3: Cross multiply
    7,471.50x = 11,201.25 × 11,201.25
  4. Step 4: Simplify right side
    7,471.50x = 125,468,001.56
  5. Step 5: Solve for x
    x = 125,468,001.56/7,471.50
  6. Step 6: Final answer
    x = 16,792.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.