Finding the Third Proportional to 771 and 2,022
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Solution
The third proportional to 771 and 2,022 is: 5,302.83
Step by Step Solution
- Step 1: Write the proportion equation
771 : 2,022 = 2,022 : x - Step 2: Convert to fraction form
771/2,022 = 2,022/x - Step 3: Cross multiply
771x = 2,022 × 2,022 - Step 4: Simplify right side
771x = 4,088,484 - Step 5: Solve for x
x = 4,088,484/771 - Step 6: Final answer
x = 5,302.83
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Why These Related Problems?
These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.