Finding the Third Proportional to 2,976 and 6,474
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Solution
The third proportional to 2,976 and 6,474 is: 14,083.56
Step by Step Solution
- Step 1: Write the proportion equation
2,976 : 6,474 = 6,474 : x - Step 2: Convert to fraction form
2,976/6,474 = 6,474/x - Step 3: Cross multiply
2,976x = 6,474 × 6,474 - Step 4: Simplify right side
2,976x = 41,912,676 - Step 5: Solve for x
x = 41,912,676/2,976 - Step 6: Final answer
x = 14,083.56
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.