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Finding the Third Proportional to 33,425 and 72,611

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Solution

The third proportional to 33,425 and 72,611 is: 157,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,425 : 72,611 = 72,611 : x
  2. Step 2: Convert to fraction form
    33,425/72,611 = 72,611/x
  3. Step 3: Cross multiply
    33,425x = 72,611 × 72,611
  4. Step 4: Simplify right side
    33,425x = 5,272,357,321
  5. Step 5: Solve for x
    x = 5,272,357,321/33,425
  6. Step 6: Final answer
    x = 157,736.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.