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Finding the Third Proportional to 3,825.04 and 8,109.33

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Solution

The third proportional to 3,825.04 and 8,109.33 is: 17,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.04 : 8,109.33 = 8,109.33 : x
  2. Step 2: Convert to fraction form
    3,825.04/8,109.33 = 8,109.33/x
  3. Step 3: Cross multiply
    3,825.04x = 8,109.33 × 8,109.33
  4. Step 4: Simplify right side
    3,825.04x = 65,761,297.67
  5. Step 5: Solve for x
    x = 65,761,297.67/3,825.04
  6. Step 6: Final answer
    x = 17,192.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.