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Finding the Third Proportional to 3,775.50 and 7,227

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Solution

The third proportional to 3,775.50 and 7,227 is: 13,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.50 : 7,227 = 7,227 : x
  2. Step 2: Convert to fraction form
    3,775.50/7,227 = 7,227/x
  3. Step 3: Cross multiply
    3,775.50x = 7,227 × 7,227
  4. Step 4: Simplify right side
    3,775.50x = 52,229,529
  5. Step 5: Solve for x
    x = 52,229,529/3,775.50
  6. Step 6: Final answer
    x = 13,833.80

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.