Finding the Third Proportional to 2,744 and 4,116
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Solution
The third proportional to 2,744 and 4,116 is: 6,174
Step by Step Solution
- Step 1: Write the proportion equation
2,744 : 4,116 = 4,116 : x - Step 2: Convert to fraction form
2,744/4,116 = 4,116/x - Step 3: Cross multiply
2,744x = 4,116 × 4,116 - Step 4: Simplify right side
2,744x = 16,941,456 - Step 5: Solve for x
x = 16,941,456/2,744 - Step 6: Final answer
x = 6,174
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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.