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Finding the Third Proportional to 33,469 and 44,619

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Solution

The third proportional to 33,469 and 44,619 is: 59,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469 : 44,619 = 44,619 : x
  2. Step 2: Convert to fraction form
    33,469/44,619 = 44,619/x
  3. Step 3: Cross multiply
    33,469x = 44,619 × 44,619
  4. Step 4: Simplify right side
    33,469x = 1,990,855,161
  5. Step 5: Solve for x
    x = 1,990,855,161/33,469
  6. Step 6: Final answer
    x = 59,483.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.