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Finding the Third Proportional to 13,212 and 17,194

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Solution

The third proportional to 13,212 and 17,194 is: 22,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 17,194 = 17,194 : x
  2. Step 2: Convert to fraction form
    13,212/17,194 = 17,194/x
  3. Step 3: Cross multiply
    13,212x = 17,194 × 17,194
  4. Step 4: Simplify right side
    13,212x = 295,633,636
  5. Step 5: Solve for x
    x = 295,633,636/13,212
  6. Step 6: Final answer
    x = 22,376.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.