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Finding the Third Proportional to 33,462 and 44,611

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Solution

The third proportional to 33,462 and 44,611 is: 59,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 44,611 = 44,611 : x
  2. Step 2: Convert to fraction form
    33,462/44,611 = 44,611/x
  3. Step 3: Cross multiply
    33,462x = 44,611 × 44,611
  4. Step 4: Simplify right side
    33,462x = 1,990,141,321
  5. Step 5: Solve for x
    x = 1,990,141,321/33,462
  6. Step 6: Final answer
    x = 59,474.67

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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.