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Finding the Third Proportional to 5,539 and 12,170

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Solution

The third proportional to 5,539 and 12,170 is: 26,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539 : 12,170 = 12,170 : x
  2. Step 2: Convert to fraction form
    5,539/12,170 = 12,170/x
  3. Step 3: Cross multiply
    5,539x = 12,170 × 12,170
  4. Step 4: Simplify right side
    5,539x = 148,108,900
  5. Step 5: Solve for x
    x = 148,108,900/5,539
  6. Step 6: Final answer
    x = 26,739.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.