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Finding the Third Proportional to 33,446 and 44,610

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Solution

The third proportional to 33,446 and 44,610 is: 59,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 44,610 = 44,610 : x
  2. Step 2: Convert to fraction form
    33,446/44,610 = 44,610/x
  3. Step 3: Cross multiply
    33,446x = 44,610 × 44,610
  4. Step 4: Simplify right side
    33,446x = 1,990,052,100
  5. Step 5: Solve for x
    x = 1,990,052,100/33,446
  6. Step 6: Final answer
    x = 59,500.45

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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.