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Finding the Third Proportional to 33,266 and 73,915

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Solution

The third proportional to 33,266 and 73,915 is: 164,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266 : 73,915 = 73,915 : x
  2. Step 2: Convert to fraction form
    33,266/73,915 = 73,915/x
  3. Step 3: Cross multiply
    33,266x = 73,915 × 73,915
  4. Step 4: Simplify right side
    33,266x = 5,463,427,225
  5. Step 5: Solve for x
    x = 5,463,427,225/33,266
  6. Step 6: Final answer
    x = 164,234.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.