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Finding the Third Proportional to 4,033.13 and 8,684.16

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Solution

The third proportional to 4,033.13 and 8,684.16 is: 18,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.13 : 8,684.16 = 8,684.16 : x
  2. Step 2: Convert to fraction form
    4,033.13/8,684.16 = 8,684.16/x
  3. Step 3: Cross multiply
    4,033.13x = 8,684.16 × 8,684.16
  4. Step 4: Simplify right side
    4,033.13x = 75,414,569.77
  5. Step 5: Solve for x
    x = 75,414,569.77/4,033.13
  6. Step 6: Final answer
    x = 18,698.79

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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.