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Finding the Third Proportional to 9,028.97 and 21,751.03

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Solution

The third proportional to 9,028.97 and 21,751.03 is: 52,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.97 : 21,751.03 = 21,751.03 : x
  2. Step 2: Convert to fraction form
    9,028.97/21,751.03 = 21,751.03/x
  3. Step 3: Cross multiply
    9,028.97x = 21,751.03 × 21,751.03
  4. Step 4: Simplify right side
    9,028.97x = 473,107,360.44
  5. Step 5: Solve for x
    x = 473,107,360.44/9,028.97
  6. Step 6: Final answer
    x = 52,398.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.