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Finding the Third Proportional to 6,272 and 13,166

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Solution

The third proportional to 6,272 and 13,166 is: 27,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272 : 13,166 = 13,166 : x
  2. Step 2: Convert to fraction form
    6,272/13,166 = 13,166/x
  3. Step 3: Cross multiply
    6,272x = 13,166 × 13,166
  4. Step 4: Simplify right side
    6,272x = 173,343,556
  5. Step 5: Solve for x
    x = 173,343,556/6,272
  6. Step 6: Final answer
    x = 27,637.68

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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.