Finding the Third Proportional to 7,578 and 14,364
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Solution
The third proportional to 7,578 and 14,364 is: 27,226.77
Step by Step Solution
- Step 1: Write the proportion equation
7,578 : 14,364 = 14,364 : x - Step 2: Convert to fraction form
7,578/14,364 = 14,364/x - Step 3: Cross multiply
7,578x = 14,364 × 14,364 - Step 4: Simplify right side
7,578x = 206,324,496 - Step 5: Solve for x
x = 206,324,496/7,578 - Step 6: Final answer
x = 27,226.77
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Why These Related Problems?
These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.