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Finding the Third Proportional to 9,910.43 and 20,793.96

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Solution

The third proportional to 9,910.43 and 20,793.96 is: 43,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.43 : 20,793.96 = 20,793.96 : x
  2. Step 2: Convert to fraction form
    9,910.43/20,793.96 = 20,793.96/x
  3. Step 3: Cross multiply
    9,910.43x = 20,793.96 × 20,793.96
  4. Step 4: Simplify right side
    9,910.43x = 432,388,811.47
  5. Step 5: Solve for x
    x = 432,388,811.47/9,910.43
  6. Step 6: Final answer
    x = 43,629.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.