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Finding the Third Proportional to 9,911.90 and 20,796.83

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Solution

The third proportional to 9,911.90 and 20,796.83 is: 43,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.90 : 20,796.83 = 20,796.83 : x
  2. Step 2: Convert to fraction form
    9,911.90/20,796.83 = 20,796.83/x
  3. Step 3: Cross multiply
    9,911.90x = 20,796.83 × 20,796.83
  4. Step 4: Simplify right side
    9,911.90x = 432,508,100.68
  5. Step 5: Solve for x
    x = 432,508,100.68/9,911.90
  6. Step 6: Final answer
    x = 43,635.23

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