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Finding the Third Proportional to 13,793.66 and 20,690.49

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Solution

The third proportional to 13,793.66 and 20,690.49 is: 31,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.66 : 20,690.49 = 20,690.49 : x
  2. Step 2: Convert to fraction form
    13,793.66/20,690.49 = 20,690.49/x
  3. Step 3: Cross multiply
    13,793.66x = 20,690.49 × 20,690.49
  4. Step 4: Simplify right side
    13,793.66x = 428,096,224.18
  5. Step 5: Solve for x
    x = 428,096,224.18/13,793.66
  6. Step 6: Final answer
    x = 31,035.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.