Finding the Third Proportional to 1,682 and 3,166
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Solution
The third proportional to 1,682 and 3,166 is: 5,959.31
Step by Step Solution
- Step 1: Write the proportion equation
1,682 : 3,166 = 3,166 : x - Step 2: Convert to fraction form
1,682/3,166 = 3,166/x - Step 3: Cross multiply
1,682x = 3,166 × 3,166 - Step 4: Simplify right side
1,682x = 10,023,556 - Step 5: Solve for x
x = 10,023,556/1,682 - Step 6: Final answer
x = 5,959.31
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.