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Finding the Third Proportional to 8,741 and 13,197

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Solution

The third proportional to 8,741 and 13,197 is: 19,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741 : 13,197 = 13,197 : x
  2. Step 2: Convert to fraction form
    8,741/13,197 = 13,197/x
  3. Step 3: Cross multiply
    8,741x = 13,197 × 13,197
  4. Step 4: Simplify right side
    8,741x = 174,160,809
  5. Step 5: Solve for x
    x = 174,160,809/8,741
  6. Step 6: Final answer
    x = 19,924.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.