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Finding the Third Proportional to 4,874.25 and 7,203.38

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Solution

The third proportional to 4,874.25 and 7,203.38 is: 10,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.25 : 7,203.38 = 7,203.38 : x
  2. Step 2: Convert to fraction form
    4,874.25/7,203.38 = 7,203.38/x
  3. Step 3: Cross multiply
    4,874.25x = 7,203.38 × 7,203.38
  4. Step 4: Simplify right side
    4,874.25x = 51,888,611.39
  5. Step 5: Solve for x
    x = 51,888,611.39/4,874.25
  6. Step 6: Final answer
    x = 10,645.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.