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Finding the Third Proportional to 33,706 and 47,219

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Solution

The third proportional to 33,706 and 47,219 is: 66,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706 : 47,219 = 47,219 : x
  2. Step 2: Convert to fraction form
    33,706/47,219 = 47,219/x
  3. Step 3: Cross multiply
    33,706x = 47,219 × 47,219
  4. Step 4: Simplify right side
    33,706x = 2,229,633,961
  5. Step 5: Solve for x
    x = 2,229,633,961/33,706
  6. Step 6: Final answer
    x = 66,149.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.