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Finding the Third Proportional to 33,419 and 49,965

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Solution

The third proportional to 33,419 and 49,965 is: 74,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419 : 49,965 = 49,965 : x
  2. Step 2: Convert to fraction form
    33,419/49,965 = 49,965/x
  3. Step 3: Cross multiply
    33,419x = 49,965 × 49,965
  4. Step 4: Simplify right side
    33,419x = 2,496,501,225
  5. Step 5: Solve for x
    x = 2,496,501,225/33,419
  6. Step 6: Final answer
    x = 74,703.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.