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Finding the Third Proportional to 4,799.25 and 10,326.75

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Solution

The third proportional to 4,799.25 and 10,326.75 is: 22,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.25 : 10,326.75 = 10,326.75 : x
  2. Step 2: Convert to fraction form
    4,799.25/10,326.75 = 10,326.75/x
  3. Step 3: Cross multiply
    4,799.25x = 10,326.75 × 10,326.75
  4. Step 4: Simplify right side
    4,799.25x = 106,641,765.56
  5. Step 5: Solve for x
    x = 106,641,765.56/4,799.25
  6. Step 6: Final answer
    x = 22,220.51

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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.