Finding the Third Proportional to 2,082 and 3,656
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Solution
The third proportional to 2,082 and 3,656 is: 6,419.95
Step by Step Solution
- Step 1: Write the proportion equation
2,082 : 3,656 = 3,656 : x - Step 2: Convert to fraction form
2,082/3,656 = 3,656/x - Step 3: Cross multiply
2,082x = 3,656 × 3,656 - Step 4: Simplify right side
2,082x = 13,366,336 - Step 5: Solve for x
x = 13,366,336/2,082 - Step 6: Final answer
x = 6,419.95
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.