Finding the Third Proportional to 8,226 and 12,049
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Solution
The third proportional to 8,226 and 12,049 is: 17,648.72
Step by Step Solution
- Step 1: Write the proportion equation
8,226 : 12,049 = 12,049 : x - Step 2: Convert to fraction form
8,226/12,049 = 12,049/x - Step 3: Cross multiply
8,226x = 12,049 × 12,049 - Step 4: Simplify right side
8,226x = 145,178,401 - Step 5: Solve for x
x = 145,178,401/8,226 - Step 6: Final answer
x = 17,648.72
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.