Finding the Third Proportional to 8,234 and 12,422
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Solution
The third proportional to 8,234 and 12,422 is: 18,740.11
Step by Step Solution
- Step 1: Write the proportion equation
8,234 : 12,422 = 12,422 : x - Step 2: Convert to fraction form
8,234/12,422 = 12,422/x - Step 3: Cross multiply
8,234x = 12,422 × 12,422 - Step 4: Simplify right side
8,234x = 154,306,084 - Step 5: Solve for x
x = 154,306,084/8,234 - Step 6: Final answer
x = 18,740.11
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.