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Finding the Third Proportional to 7,002 and 18,843.75

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Solution

The third proportional to 7,002 and 18,843.75 is: 50,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 18,843.75 = 18,843.75 : x
  2. Step 2: Convert to fraction form
    7,002/18,843.75 = 18,843.75/x
  3. Step 3: Cross multiply
    7,002x = 18,843.75 × 18,843.75
  4. Step 4: Simplify right side
    7,002x = 355,086,914.06
  5. Step 5: Solve for x
    x = 355,086,914.06/7,002
  6. Step 6: Final answer
    x = 50,712.21

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.