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Finding the Third Proportional to 36,350 and 74,036

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Solution

The third proportional to 36,350 and 74,036 is: 150,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,350 : 74,036 = 74,036 : x
  2. Step 2: Convert to fraction form
    36,350/74,036 = 74,036/x
  3. Step 3: Cross multiply
    36,350x = 74,036 × 74,036
  4. Step 4: Simplify right side
    36,350x = 5,481,329,296
  5. Step 5: Solve for x
    x = 5,481,329,296/36,350
  6. Step 6: Final answer
    x = 150,793.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.