Finding the Third Proportional to 8,232.75 and 11,733.75
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Solution
The third proportional to 8,232.75 and 11,733.75 is: 16,723.56
Step by Step Solution
- Step 1: Write the proportion equation
8,232.75 : 11,733.75 = 11,733.75 : x - Step 2: Convert to fraction form
8,232.75/11,733.75 = 11,733.75/x - Step 3: Cross multiply
8,232.75x = 11,733.75 × 11,733.75 - Step 4: Simplify right side
8,232.75x = 137,680,889.06 - Step 5: Solve for x
x = 137,680,889.06/8,232.75 - Step 6: Final answer
x = 16,723.56
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.