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Finding the Third Proportional to 36,027 and 74,818

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Solution

The third proportional to 36,027 and 74,818 is: 155,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 74,818 = 74,818 : x
  2. Step 2: Convert to fraction form
    36,027/74,818 = 74,818/x
  3. Step 3: Cross multiply
    36,027x = 74,818 × 74,818
  4. Step 4: Simplify right side
    36,027x = 5,597,733,124
  5. Step 5: Solve for x
    x = 5,597,733,124/36,027
  6. Step 6: Final answer
    x = 155,376.05

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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.