Finding the Third Proportional to 2,738 and 3,182
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Solution
The third proportional to 2,738 and 3,182 is: 3,698
Step by Step Solution
- Step 1: Write the proportion equation
2,738 : 3,182 = 3,182 : x - Step 2: Convert to fraction form
2,738/3,182 = 3,182/x - Step 3: Cross multiply
2,738x = 3,182 × 3,182 - Step 4: Simplify right side
2,738x = 10,125,124 - Step 5: Solve for x
x = 10,125,124/2,738 - Step 6: Final answer
x = 3,698
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.