Finding the Third Proportional to 9,024 and 14,144
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Solution
The third proportional to 9,024 and 14,144 is: 22,168.96
Step by Step Solution
- Step 1: Write the proportion equation
9,024 : 14,144 = 14,144 : x - Step 2: Convert to fraction form
9,024/14,144 = 14,144/x - Step 3: Cross multiply
9,024x = 14,144 × 14,144 - Step 4: Simplify right side
9,024x = 200,052,736 - Step 5: Solve for x
x = 200,052,736/9,024 - Step 6: Final answer
x = 22,168.96
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.