Finding the Third Proportional to 1,231 and 2,678
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Solution
The third proportional to 1,231 and 2,678 is: 5,825.90
Step by Step Solution
- Step 1: Write the proportion equation
1,231 : 2,678 = 2,678 : x - Step 2: Convert to fraction form
1,231/2,678 = 2,678/x - Step 3: Cross multiply
1,231x = 2,678 × 2,678 - Step 4: Simplify right side
1,231x = 7,171,684 - Step 5: Solve for x
x = 7,171,684/1,231 - Step 6: Final answer
x = 5,825.90
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.