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Finding the Third Proportional to 13,539 and 28,131

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Solution

The third proportional to 13,539 and 28,131 is: 58,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 28,131 = 28,131 : x
  2. Step 2: Convert to fraction form
    13,539/28,131 = 28,131/x
  3. Step 3: Cross multiply
    13,539x = 28,131 × 28,131
  4. Step 4: Simplify right side
    13,539x = 791,353,161
  5. Step 5: Solve for x
    x = 791,353,161/13,539
  6. Step 6: Final answer
    x = 58,449.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.