Finding the Third Proportional to 2,824 and 6,147
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Solution
The third proportional to 2,824 and 6,147 is: 13,380.17
Step by Step Solution
- Step 1: Write the proportion equation
2,824 : 6,147 = 6,147 : x - Step 2: Convert to fraction form
2,824/6,147 = 6,147/x - Step 3: Cross multiply
2,824x = 6,147 × 6,147 - Step 4: Simplify right side
2,824x = 37,785,609 - Step 5: Solve for x
x = 37,785,609/2,824 - Step 6: Final answer
x = 13,380.17
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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.