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Finding the Third Proportional to 13,286.50 and 28,193

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Solution

The third proportional to 13,286.50 and 28,193 is: 59,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286.50 : 28,193 = 28,193 : x
  2. Step 2: Convert to fraction form
    13,286.50/28,193 = 28,193/x
  3. Step 3: Cross multiply
    13,286.50x = 28,193 × 28,193
  4. Step 4: Simplify right side
    13,286.50x = 794,845,249
  5. Step 5: Solve for x
    x = 794,845,249/13,286.50
  6. Step 6: Final answer
    x = 59,823.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.