Finding the Third Proportional to 39,733.50 and 82,734
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Solution
The third proportional to 39,733.50 and 82,734 is: 172,270.62
Step by Step Solution
- Step 1: Write the proportion equation
39,733.50 : 82,734 = 82,734 : x - Step 2: Convert to fraction form
39,733.50/82,734 = 82,734/x - Step 3: Cross multiply
39,733.50x = 82,734 × 82,734 - Step 4: Simplify right side
39,733.50x = 6,844,914,756 - Step 5: Solve for x
x = 6,844,914,756/39,733.50 - Step 6: Final answer
x = 172,270.62
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.