Finding the Third Proportional to 4,022 and 5,753
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Solution
The third proportional to 4,022 and 5,753 is: 8,228.99
Step by Step Solution
- Step 1: Write the proportion equation
4,022 : 5,753 = 5,753 : x - Step 2: Convert to fraction form
4,022/5,753 = 5,753/x - Step 3: Cross multiply
4,022x = 5,753 × 5,753 - Step 4: Simplify right side
4,022x = 33,097,009 - Step 5: Solve for x
x = 33,097,009/4,022 - Step 6: Final answer
x = 8,228.99
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.