Finding the Third Proportional to 20,860 and 31,467
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Solution
The third proportional to 20,860 and 31,467 is: 47,467.50
Step by Step Solution
- Step 1: Write the proportion equation
20,860 : 31,467 = 31,467 : x - Step 2: Convert to fraction form
20,860/31,467 = 31,467/x - Step 3: Cross multiply
20,860x = 31,467 × 31,467 - Step 4: Simplify right side
20,860x = 990,172,089 - Step 5: Solve for x
x = 990,172,089/20,860 - Step 6: Final answer
x = 47,467.50
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.