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Finding the Third Proportional to 4,799.25 and 7,640.25

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Solution

The third proportional to 4,799.25 and 7,640.25 is: 12,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.25 : 7,640.25 = 7,640.25 : x
  2. Step 2: Convert to fraction form
    4,799.25/7,640.25 = 7,640.25/x
  3. Step 3: Cross multiply
    4,799.25x = 7,640.25 × 7,640.25
  4. Step 4: Simplify right side
    4,799.25x = 58,373,420.06
  5. Step 5: Solve for x
    x = 58,373,420.06/4,799.25
  6. Step 6: Final answer
    x = 12,163.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.