Finding the Third Proportional to 31,566 and 67,992
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Solution
The third proportional to 31,566 and 67,992 is: 146,452.26
Step by Step Solution
- Step 1: Write the proportion equation
31,566 : 67,992 = 67,992 : x - Step 2: Convert to fraction form
31,566/67,992 = 67,992/x - Step 3: Cross multiply
31,566x = 67,992 × 67,992 - Step 4: Simplify right side
31,566x = 4,622,912,064 - Step 5: Solve for x
x = 4,622,912,064/31,566 - Step 6: Final answer
x = 146,452.26
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.