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Finding the Third Proportional to 4,205.25 and 9,912.75

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Solution

The third proportional to 4,205.25 and 9,912.75 is: 23,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.25 : 9,912.75 = 9,912.75 : x
  2. Step 2: Convert to fraction form
    4,205.25/9,912.75 = 9,912.75/x
  3. Step 3: Cross multiply
    4,205.25x = 9,912.75 × 9,912.75
  4. Step 4: Simplify right side
    4,205.25x = 98,262,612.56
  5. Step 5: Solve for x
    x = 98,262,612.56/4,205.25
  6. Step 6: Final answer
    x = 23,366.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.