Finding the Third Proportional to 33,158 and 67,847
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Solution
The third proportional to 33,158 and 67,847 is: 138,826.69
Step by Step Solution
- Step 1: Write the proportion equation
33,158 : 67,847 = 67,847 : x - Step 2: Convert to fraction form
33,158/67,847 = 67,847/x - Step 3: Cross multiply
33,158x = 67,847 × 67,847 - Step 4: Simplify right side
33,158x = 4,603,215,409 - Step 5: Solve for x
x = 4,603,215,409/33,158 - Step 6: Final answer
x = 138,826.69
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.