Finding the Third Proportional to 2,074 and 3,722
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Solution
The third proportional to 2,074 and 3,722 is: 6,679.50
Step by Step Solution
- Step 1: Write the proportion equation
2,074 : 3,722 = 3,722 : x - Step 2: Convert to fraction form
2,074/3,722 = 3,722/x - Step 3: Cross multiply
2,074x = 3,722 × 3,722 - Step 4: Simplify right side
2,074x = 13,853,284 - Step 5: Solve for x
x = 13,853,284/2,074 - Step 6: Final answer
x = 6,679.50
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Why These Related Problems?
These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.