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Finding the Third Proportional to 9,028.97 and 19,834.88

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Solution

The third proportional to 9,028.97 and 19,834.88 is: 43,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.97 : 19,834.88 = 19,834.88 : x
  2. Step 2: Convert to fraction form
    9,028.97/19,834.88 = 19,834.88/x
  3. Step 3: Cross multiply
    9,028.97x = 19,834.88 × 19,834.88
  4. Step 4: Simplify right side
    9,028.97x = 393,422,266.27
  5. Step 5: Solve for x
    x = 393,422,266.27/9,028.97
  6. Step 6: Final answer
    x = 43,573.33

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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.