Finding the Third Proportional to 2,736 and 6,384
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Solution
The third proportional to 2,736 and 6,384 is: 14,896
Step by Step Solution
- Step 1: Write the proportion equation
2,736 : 6,384 = 6,384 : x - Step 2: Convert to fraction form
2,736/6,384 = 6,384/x - Step 3: Cross multiply
2,736x = 6,384 × 6,384 - Step 4: Simplify right side
2,736x = 40,755,456 - Step 5: Solve for x
x = 40,755,456/2,736 - Step 6: Final answer
x = 14,896
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.