Finding the Third Proportional to 2,086 and 4,274
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Solution
The third proportional to 2,086 and 4,274 is: 8,756.99
Step by Step Solution
- Step 1: Write the proportion equation
2,086 : 4,274 = 4,274 : x - Step 2: Convert to fraction form
2,086/4,274 = 4,274/x - Step 3: Cross multiply
2,086x = 4,274 × 4,274 - Step 4: Simplify right side
2,086x = 18,267,076 - Step 5: Solve for x
x = 18,267,076/2,086 - Step 6: Final answer
x = 8,756.99
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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.