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Finding the Third Proportional to 3,828.09 and 8,223.19

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Solution

The third proportional to 3,828.09 and 8,223.19 is: 17,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.09 : 8,223.19 = 8,223.19 : x
  2. Step 2: Convert to fraction form
    3,828.09/8,223.19 = 8,223.19/x
  3. Step 3: Cross multiply
    3,828.09x = 8,223.19 × 8,223.19
  4. Step 4: Simplify right side
    3,828.09x = 67,620,812.66
  5. Step 5: Solve for x
    x = 67,620,812.66/3,828.09
  6. Step 6: Final answer
    x = 17,664.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.