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Finding the Third Proportional to 33,387 and 67,696

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Solution

The third proportional to 33,387 and 67,696 is: 137,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387 : 67,696 = 67,696 : x
  2. Step 2: Convert to fraction form
    33,387/67,696 = 67,696/x
  3. Step 3: Cross multiply
    33,387x = 67,696 × 67,696
  4. Step 4: Simplify right side
    33,387x = 4,582,748,416
  5. Step 5: Solve for x
    x = 4,582,748,416/33,387
  6. Step 6: Final answer
    x = 137,261.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.