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Finding the Third Proportional to 5,615.50 and 12,227

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Solution

The third proportional to 5,615.50 and 12,227 is: 26,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.50 : 12,227 = 12,227 : x
  2. Step 2: Convert to fraction form
    5,615.50/12,227 = 12,227/x
  3. Step 3: Cross multiply
    5,615.50x = 12,227 × 12,227
  4. Step 4: Simplify right side
    5,615.50x = 149,499,529
  5. Step 5: Solve for x
    x = 149,499,529/5,615.50
  6. Step 6: Final answer
    x = 26,622.66

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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.