Finding the Third Proportional to 2,844 and 3,770
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Solution
The third proportional to 2,844 and 3,770 is: 4,997.50
Step by Step Solution
- Step 1: Write the proportion equation
2,844 : 3,770 = 3,770 : x - Step 2: Convert to fraction form
2,844/3,770 = 3,770/x - Step 3: Cross multiply
2,844x = 3,770 × 3,770 - Step 4: Simplify right side
2,844x = 14,212,900 - Step 5: Solve for x
x = 14,212,900/2,844 - Step 6: Final answer
x = 4,997.50
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.