Finding the Third Proportional to 1,314 and 2,874
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Solution
The third proportional to 1,314 and 2,874 is: 6,286.05
Step by Step Solution
- Step 1: Write the proportion equation
1,314 : 2,874 = 2,874 : x - Step 2: Convert to fraction form
1,314/2,874 = 2,874/x - Step 3: Cross multiply
1,314x = 2,874 × 2,874 - Step 4: Simplify right side
1,314x = 8,259,876 - Step 5: Solve for x
x = 8,259,876/1,314 - Step 6: Final answer
x = 6,286.05
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.