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Finding the Third Proportional to 11,227 and 19,275

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Solution

The third proportional to 11,227 and 19,275 is: 33,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227 : 19,275 = 19,275 : x
  2. Step 2: Convert to fraction form
    11,227/19,275 = 19,275/x
  3. Step 3: Cross multiply
    11,227x = 19,275 × 19,275
  4. Step 4: Simplify right side
    11,227x = 371,525,625
  5. Step 5: Solve for x
    x = 371,525,625/11,227
  6. Step 6: Final answer
    x = 33,092.16

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.