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Finding the Third Proportional to 33,716 and 68,388

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Solution

The third proportional to 33,716 and 68,388 is: 138,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716 : 68,388 = 68,388 : x
  2. Step 2: Convert to fraction form
    33,716/68,388 = 68,388/x
  3. Step 3: Cross multiply
    33,716x = 68,388 × 68,388
  4. Step 4: Simplify right side
    33,716x = 4,676,918,544
  5. Step 5: Solve for x
    x = 4,676,918,544/33,716
  6. Step 6: Final answer
    x = 138,715.11

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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.