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Finding the Third Proportional to 33,453 and 72,351

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Solution

The third proportional to 33,453 and 72,351 is: 156,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453 : 72,351 = 72,351 : x
  2. Step 2: Convert to fraction form
    33,453/72,351 = 72,351/x
  3. Step 3: Cross multiply
    33,453x = 72,351 × 72,351
  4. Step 4: Simplify right side
    33,453x = 5,234,667,201
  5. Step 5: Solve for x
    x = 5,234,667,201/33,453
  6. Step 6: Final answer
    x = 156,478.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.