Finding the Third Proportional to 2,286 and 4,194
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Solution
The third proportional to 2,286 and 4,194 is: 7,694.50
Step by Step Solution
- Step 1: Write the proportion equation
2,286 : 4,194 = 4,194 : x - Step 2: Convert to fraction form
2,286/4,194 = 4,194/x - Step 3: Cross multiply
2,286x = 4,194 × 4,194 - Step 4: Simplify right side
2,286x = 17,589,636 - Step 5: Solve for x
x = 17,589,636/2,286 - Step 6: Final answer
x = 7,694.50
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.