Finding the Third Proportional to 31,674 and 67,234
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Solution
The third proportional to 31,674 and 67,234 is: 142,716.76
Step by Step Solution
- Step 1: Write the proportion equation
31,674 : 67,234 = 67,234 : x - Step 2: Convert to fraction form
31,674/67,234 = 67,234/x - Step 3: Cross multiply
31,674x = 67,234 × 67,234 - Step 4: Simplify right side
31,674x = 4,520,410,756 - Step 5: Solve for x
x = 4,520,410,756/31,674 - Step 6: Final answer
x = 142,716.76
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.