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Finding the Third Proportional to 4,272.75 and 4,799.25

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Solution

The third proportional to 4,272.75 and 4,799.25 is: 5,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 4,799.25 = 4,799.25 : x
  2. Step 2: Convert to fraction form
    4,272.75/4,799.25 = 4,799.25/x
  3. Step 3: Cross multiply
    4,272.75x = 4,799.25 × 4,799.25
  4. Step 4: Simplify right side
    4,272.75x = 23,032,800.56
  5. Step 5: Solve for x
    x = 23,032,800.56/4,272.75
  6. Step 6: Final answer
    x = 5,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.