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Finding the Third Proportional to 32,996 and 67,144

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Solution

The third proportional to 32,996 and 67,144 is: 136,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996 : 67,144 = 67,144 : x
  2. Step 2: Convert to fraction form
    32,996/67,144 = 67,144/x
  3. Step 3: Cross multiply
    32,996x = 67,144 × 67,144
  4. Step 4: Simplify right side
    32,996x = 4,508,316,736
  5. Step 5: Solve for x
    x = 4,508,316,736/32,996
  6. Step 6: Final answer
    x = 136,632.22

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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.