Finding the Third Proportional to 2,846 and 3,982
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Solution
The third proportional to 2,846 and 3,982 is: 5,571.44
Step by Step Solution
- Step 1: Write the proportion equation
2,846 : 3,982 = 3,982 : x - Step 2: Convert to fraction form
2,846/3,982 = 3,982/x - Step 3: Cross multiply
2,846x = 3,982 × 3,982 - Step 4: Simplify right side
2,846x = 15,856,324 - Step 5: Solve for x
x = 15,856,324/2,846 - Step 6: Final answer
x = 5,571.44
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.