Finding the Third Proportional to 8,256 and 16,098
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Solution
The third proportional to 8,256 and 16,098 is: 31,388.76
Step by Step Solution
- Step 1: Write the proportion equation
8,256 : 16,098 = 16,098 : x - Step 2: Convert to fraction form
8,256/16,098 = 16,098/x - Step 3: Cross multiply
8,256x = 16,098 × 16,098 - Step 4: Simplify right side
8,256x = 259,145,604 - Step 5: Solve for x
x = 259,145,604/8,256 - Step 6: Final answer
x = 31,388.76
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.