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Finding the Third Proportional to 32,000 and 68,626

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Solution

The third proportional to 32,000 and 68,626 is: 147,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 68,626 = 68,626 : x
  2. Step 2: Convert to fraction form
    32,000/68,626 = 68,626/x
  3. Step 3: Cross multiply
    32,000x = 68,626 × 68,626
  4. Step 4: Simplify right side
    32,000x = 4,709,527,876
  5. Step 5: Solve for x
    x = 4,709,527,876/32,000
  6. Step 6: Final answer
    x = 147,172.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.