Finding the Third Proportional to 2,772 and 5,974
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Solution
The third proportional to 2,772 and 5,974 is: 12,874.70
Step by Step Solution
- Step 1: Write the proportion equation
2,772 : 5,974 = 5,974 : x - Step 2: Convert to fraction form
2,772/5,974 = 5,974/x - Step 3: Cross multiply
2,772x = 5,974 × 5,974 - Step 4: Simplify right side
2,772x = 35,688,676 - Step 5: Solve for x
x = 35,688,676/2,772 - Step 6: Final answer
x = 12,874.70
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.