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Finding the Third Proportional to 12,227 and 17,764

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Solution

The third proportional to 12,227 and 17,764 is: 25,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227 : 17,764 = 17,764 : x
  2. Step 2: Convert to fraction form
    12,227/17,764 = 17,764/x
  3. Step 3: Cross multiply
    12,227x = 17,764 × 17,764
  4. Step 4: Simplify right side
    12,227x = 315,559,696
  5. Step 5: Solve for x
    x = 315,559,696/12,227
  6. Step 6: Final answer
    x = 25,808.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.