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Finding the Third Proportional to 9,100.25 and 20,033.25

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Solution

The third proportional to 9,100.25 and 20,033.25 is: 44,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.25 : 20,033.25 = 20,033.25 : x
  2. Step 2: Convert to fraction form
    9,100.25/20,033.25 = 20,033.25/x
  3. Step 3: Cross multiply
    9,100.25x = 20,033.25 × 20,033.25
  4. Step 4: Simplify right side
    9,100.25x = 401,331,105.56
  5. Step 5: Solve for x
    x = 401,331,105.56/9,100.25
  6. Step 6: Final answer
    x = 44,101.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.