Finding the Third Proportional to 852 and 1,998
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Solution
The third proportional to 852 and 1,998 is: 4,685.45
Step by Step Solution
- Step 1: Write the proportion equation
852 : 1,998 = 1,998 : x - Step 2: Convert to fraction form
852/1,998 = 1,998/x - Step 3: Cross multiply
852x = 1,998 × 1,998 - Step 4: Simplify right side
852x = 3,992,004 - Step 5: Solve for x
x = 3,992,004/852 - Step 6: Final answer
x = 4,685.45
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.