Finding the Third Proportional to 27,744 and 36,336
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Solution
The third proportional to 27,744 and 36,336 is: 47,588.84
Step by Step Solution
- Step 1: Write the proportion equation
27,744 : 36,336 = 36,336 : x - Step 2: Convert to fraction form
27,744/36,336 = 36,336/x - Step 3: Cross multiply
27,744x = 36,336 × 36,336 - Step 4: Simplify right side
27,744x = 1,320,304,896 - Step 5: Solve for x
x = 1,320,304,896/27,744 - Step 6: Final answer
x = 47,588.84
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.