Finding the Third Proportional to 1,922 and 3,162
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Solution
The third proportional to 1,922 and 3,162 is: 5,202
Step by Step Solution
- Step 1: Write the proportion equation
1,922 : 3,162 = 3,162 : x - Step 2: Convert to fraction form
1,922/3,162 = 3,162/x - Step 3: Cross multiply
1,922x = 3,162 × 3,162 - Step 4: Simplify right side
1,922x = 9,998,244 - Step 5: Solve for x
x = 9,998,244/1,922 - Step 6: Final answer
x = 5,202
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.