Finding the Third Proportional to 33,082 and 49,630
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Solution
The third proportional to 33,082 and 49,630 is: 74,455.50
Step by Step Solution
- Step 1: Write the proportion equation
33,082 : 49,630 = 49,630 : x - Step 2: Convert to fraction form
33,082/49,630 = 49,630/x - Step 3: Cross multiply
33,082x = 49,630 × 49,630 - Step 4: Simplify right side
33,082x = 2,463,136,900 - Step 5: Solve for x
x = 2,463,136,900/33,082 - Step 6: Final answer
x = 74,455.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.