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Finding the Third Proportional to 4,022.25 and 8,863.13

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Solution

The third proportional to 4,022.25 and 8,863.13 is: 19,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,022.25 : 8,863.13 = 8,863.13 : x
  2. Step 2: Convert to fraction form
    4,022.25/8,863.13 = 8,863.13/x
  3. Step 3: Cross multiply
    4,022.25x = 8,863.13 × 8,863.13
  4. Step 4: Simplify right side
    4,022.25x = 78,554,984.77
  5. Step 5: Solve for x
    x = 78,554,984.77/4,022.25
  6. Step 6: Final answer
    x = 19,530.11

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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.