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Finding the Third Proportional to 6,291 and 13,194

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Solution

The third proportional to 6,291 and 13,194 is: 27,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 13,194 = 13,194 : x
  2. Step 2: Convert to fraction form
    6,291/13,194 = 13,194/x
  3. Step 3: Cross multiply
    6,291x = 13,194 × 13,194
  4. Step 4: Simplify right side
    6,291x = 174,081,636
  5. Step 5: Solve for x
    x = 174,081,636/6,291
  6. Step 6: Final answer
    x = 27,671.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.