Finding the Third Proportional to 1,984 and 3,198
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Solution
The third proportional to 1,984 and 3,198 is: 5,154.84
Step by Step Solution
- Step 1: Write the proportion equation
1,984 : 3,198 = 3,198 : x - Step 2: Convert to fraction form
1,984/3,198 = 3,198/x - Step 3: Cross multiply
1,984x = 3,198 × 3,198 - Step 4: Simplify right side
1,984x = 10,227,204 - Step 5: Solve for x
x = 10,227,204/1,984 - Step 6: Final answer
x = 5,154.84
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.