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Finding the Third Proportional to 36,563 and 74,422

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Solution

The third proportional to 36,563 and 74,422 is: 151,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563 : 74,422 = 74,422 : x
  2. Step 2: Convert to fraction form
    36,563/74,422 = 74,422/x
  3. Step 3: Cross multiply
    36,563x = 74,422 × 74,422
  4. Step 4: Simplify right side
    36,563x = 5,538,634,084
  5. Step 5: Solve for x
    x = 5,538,634,084/36,563
  6. Step 6: Final answer
    x = 151,481.94

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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.