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Finding the Third Proportional to 32,847 and 68,029

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Solution

The third proportional to 32,847 and 68,029 is: 140,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847 : 68,029 = 68,029 : x
  2. Step 2: Convert to fraction form
    32,847/68,029 = 68,029/x
  3. Step 3: Cross multiply
    32,847x = 68,029 × 68,029
  4. Step 4: Simplify right side
    32,847x = 4,627,944,841
  5. Step 5: Solve for x
    x = 4,627,944,841/32,847
  6. Step 6: Final answer
    x = 140,893.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.