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Finding the Third Proportional to 30,467 and 41,002

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Solution

The third proportional to 30,467 and 41,002 is: 55,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467 : 41,002 = 41,002 : x
  2. Step 2: Convert to fraction form
    30,467/41,002 = 41,002/x
  3. Step 3: Cross multiply
    30,467x = 41,002 × 41,002
  4. Step 4: Simplify right side
    30,467x = 1,681,164,004
  5. Step 5: Solve for x
    x = 1,681,164,004/30,467
  6. Step 6: Final answer
    x = 55,179.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.