Finding the Third Proportional to 31,012 and 67,170
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Solution
The third proportional to 31,012 and 67,170 is: 145,485.91
Step by Step Solution
- Step 1: Write the proportion equation
31,012 : 67,170 = 67,170 : x - Step 2: Convert to fraction form
31,012/67,170 = 67,170/x - Step 3: Cross multiply
31,012x = 67,170 × 67,170 - Step 4: Simplify right side
31,012x = 4,511,808,900 - Step 5: Solve for x
x = 4,511,808,900/31,012 - Step 6: Final answer
x = 145,485.91
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.