Finding the Third Proportional to 3,186 and 5,772
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Solution
The third proportional to 3,186 and 5,772 is: 10,456.99
Step by Step Solution
- Step 1: Write the proportion equation
3,186 : 5,772 = 5,772 : x - Step 2: Convert to fraction form
3,186/5,772 = 5,772/x - Step 3: Cross multiply
3,186x = 5,772 × 5,772 - Step 4: Simplify right side
3,186x = 33,315,984 - Step 5: Solve for x
x = 33,315,984/3,186 - Step 6: Final answer
x = 10,456.99
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.