Finding the Third Proportional to 33,647 and 49,819
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Solution
The third proportional to 33,647 and 49,819 is: 73,763.86
Step by Step Solution
- Step 1: Write the proportion equation
33,647 : 49,819 = 49,819 : x - Step 2: Convert to fraction form
33,647/49,819 = 49,819/x - Step 3: Cross multiply
33,647x = 49,819 × 49,819 - Step 4: Simplify right side
33,647x = 2,481,932,761 - Step 5: Solve for x
x = 2,481,932,761/33,647 - Step 6: Final answer
x = 73,763.86
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.