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Finding the Third Proportional to 35,969 and 73,366

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Solution

The third proportional to 35,969 and 73,366 is: 149,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 73,366 = 73,366 : x
  2. Step 2: Convert to fraction form
    35,969/73,366 = 73,366/x
  3. Step 3: Cross multiply
    35,969x = 73,366 × 73,366
  4. Step 4: Simplify right side
    35,969x = 5,382,569,956
  5. Step 5: Solve for x
    x = 5,382,569,956/35,969
  6. Step 6: Final answer
    x = 149,644.69

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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.