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Finding the Third Proportional to 32,846 and 68,027

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Solution

The third proportional to 32,846 and 68,027 is: 140,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846 : 68,027 = 68,027 : x
  2. Step 2: Convert to fraction form
    32,846/68,027 = 68,027/x
  3. Step 3: Cross multiply
    32,846x = 68,027 × 68,027
  4. Step 4: Simplify right side
    32,846x = 4,627,672,729
  5. Step 5: Solve for x
    x = 4,627,672,729/32,846
  6. Step 6: Final answer
    x = 140,889.99

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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.