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Finding the Third Proportional to 33,447 and 44,612.25

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Solution

The third proportional to 33,447 and 44,612.25 is: 59,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447 : 44,612.25 = 44,612.25 : x
  2. Step 2: Convert to fraction form
    33,447/44,612.25 = 44,612.25/x
  3. Step 3: Cross multiply
    33,447x = 44,612.25 × 44,612.25
  4. Step 4: Simplify right side
    33,447x = 1,990,252,850.06
  5. Step 5: Solve for x
    x = 1,990,252,850.06/33,447
  6. Step 6: Final answer
    x = 59,504.67

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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.