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Finding the Third Proportional to 34,443 and 72,002

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Solution

The third proportional to 34,443 and 72,002 is: 150,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443 : 72,002 = 72,002 : x
  2. Step 2: Convert to fraction form
    34,443/72,002 = 72,002/x
  3. Step 3: Cross multiply
    34,443x = 72,002 × 72,002
  4. Step 4: Simplify right side
    34,443x = 5,184,288,004
  5. Step 5: Solve for x
    x = 5,184,288,004/34,443
  6. Step 6: Final answer
    x = 150,517.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.