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Finding the Third Proportional to 33,069 and 47,269

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Solution

The third proportional to 33,069 and 47,269 is: 67,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069 : 47,269 = 47,269 : x
  2. Step 2: Convert to fraction form
    33,069/47,269 = 47,269/x
  3. Step 3: Cross multiply
    33,069x = 47,269 × 47,269
  4. Step 4: Simplify right side
    33,069x = 2,234,358,361
  5. Step 5: Solve for x
    x = 2,234,358,361/33,069
  6. Step 6: Final answer
    x = 67,566.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.