Finding the Third Proportional to 49,512 and 100,744
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Solution
The third proportional to 49,512 and 100,744 is: 204,987.75
Step by Step Solution
- Step 1: Write the proportion equation
49,512 : 100,744 = 100,744 : x - Step 2: Convert to fraction form
49,512/100,744 = 100,744/x - Step 3: Cross multiply
49,512x = 100,744 × 100,744 - Step 4: Simplify right side
49,512x = 10,149,353,536 - Step 5: Solve for x
x = 10,149,353,536/49,512 - Step 6: Final answer
x = 204,987.75
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.