Finding the Third Proportional to 2,874 and 4,144
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Solution
The third proportional to 2,874 and 4,144 is: 5,975.20
Step by Step Solution
- Step 1: Write the proportion equation
2,874 : 4,144 = 4,144 : x - Step 2: Convert to fraction form
2,874/4,144 = 4,144/x - Step 3: Cross multiply
2,874x = 4,144 × 4,144 - Step 4: Simplify right side
2,874x = 17,172,736 - Step 5: Solve for x
x = 17,172,736/2,874 - Step 6: Final answer
x = 5,975.20
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.