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Finding the Third Proportional to 36,000 and 74,766

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Solution

The third proportional to 36,000 and 74,766 is: 155,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 74,766 = 74,766 : x
  2. Step 2: Convert to fraction form
    36,000/74,766 = 74,766/x
  3. Step 3: Cross multiply
    36,000x = 74,766 × 74,766
  4. Step 4: Simplify right side
    36,000x = 5,589,954,756
  5. Step 5: Solve for x
    x = 5,589,954,756/36,000
  6. Step 6: Final answer
    x = 155,276.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.