Finding the Third Proportional to 5,692 and 13,777
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Solution
The third proportional to 5,692 and 13,777 is: 33,346.05
Step by Step Solution
- Step 1: Write the proportion equation
5,692 : 13,777 = 13,777 : x - Step 2: Convert to fraction form
5,692/13,777 = 13,777/x - Step 3: Cross multiply
5,692x = 13,777 × 13,777 - Step 4: Simplify right side
5,692x = 189,805,729 - Step 5: Solve for x
x = 189,805,729/5,692 - Step 6: Final answer
x = 33,346.05
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Why These Related Problems?
These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.