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Finding the Third Proportional to 13,793.34 and 30,709.69

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Solution

The third proportional to 13,793.34 and 30,709.69 is: 68,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.34 : 30,709.69 = 30,709.69 : x
  2. Step 2: Convert to fraction form
    13,793.34/30,709.69 = 30,709.69/x
  3. Step 3: Cross multiply
    13,793.34x = 30,709.69 × 30,709.69
  4. Step 4: Simplify right side
    13,793.34x = 943,084,906.35
  5. Step 5: Solve for x
    x = 943,084,906.35/13,793.34
  6. Step 6: Final answer
    x = 68,372.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.