Finding the Third Proportional to 998 and 1,825
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Solution
The third proportional to 998 and 1,825 is: 3,337.30
Step by Step Solution
- Step 1: Write the proportion equation
998 : 1,825 = 1,825 : x - Step 2: Convert to fraction form
998/1,825 = 1,825/x - Step 3: Cross multiply
998x = 1,825 × 1,825 - Step 4: Simplify right side
998x = 3,330,625 - Step 5: Solve for x
x = 3,330,625/998 - Step 6: Final answer
x = 3,337.30
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.