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Finding the Third Proportional to 11,741 and 17,197

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Solution

The third proportional to 11,741 and 17,197 is: 25,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741 : 17,197 = 17,197 : x
  2. Step 2: Convert to fraction form
    11,741/17,197 = 17,197/x
  3. Step 3: Cross multiply
    11,741x = 17,197 × 17,197
  4. Step 4: Simplify right side
    11,741x = 295,736,809
  5. Step 5: Solve for x
    x = 295,736,809/11,741
  6. Step 6: Final answer
    x = 25,188.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.