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Finding the Third Proportional to 13,306.50 and 20,874

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Solution

The third proportional to 13,306.50 and 20,874 is: 32,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.50 : 20,874 = 20,874 : x
  2. Step 2: Convert to fraction form
    13,306.50/20,874 = 20,874/x
  3. Step 3: Cross multiply
    13,306.50x = 20,874 × 20,874
  4. Step 4: Simplify right side
    13,306.50x = 435,723,876
  5. Step 5: Solve for x
    x = 435,723,876/13,306.50
  6. Step 6: Final answer
    x = 32,745.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.