Finding the Third Proportional to 2,452 and 5,814
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Solution
The third proportional to 2,452 and 5,814 is: 13,785.72
Step by Step Solution
- Step 1: Write the proportion equation
2,452 : 5,814 = 5,814 : x - Step 2: Convert to fraction form
2,452/5,814 = 5,814/x - Step 3: Cross multiply
2,452x = 5,814 × 5,814 - Step 4: Simplify right side
2,452x = 33,802,596 - Step 5: Solve for x
x = 33,802,596/2,452 - Step 6: Final answer
x = 13,785.72
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.