Finding the Third Proportional to 20,723 and 31,800
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Solution
The third proportional to 20,723 and 31,800 is: 48,797.95
Step by Step Solution
- Step 1: Write the proportion equation
20,723 : 31,800 = 31,800 : x - Step 2: Convert to fraction form
20,723/31,800 = 31,800/x - Step 3: Cross multiply
20,723x = 31,800 × 31,800 - Step 4: Simplify right side
20,723x = 1,011,240,000 - Step 5: Solve for x
x = 1,011,240,000/20,723 - Step 6: Final answer
x = 48,797.95
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.