Finding the Third Proportional to 20,082 and 42,425
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Solution
The third proportional to 20,082 and 42,425 is: 89,626.56
Step by Step Solution
- Step 1: Write the proportion equation
20,082 : 42,425 = 42,425 : x - Step 2: Convert to fraction form
20,082/42,425 = 42,425/x - Step 3: Cross multiply
20,082x = 42,425 × 42,425 - Step 4: Simplify right side
20,082x = 1,799,880,625 - Step 5: Solve for x
x = 1,799,880,625/20,082 - Step 6: Final answer
x = 89,626.56
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.