Finding the Third Proportional to 20,022 and 31,167
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Solution
The third proportional to 20,022 and 31,167 is: 48,515.73
Step by Step Solution
- Step 1: Write the proportion equation
20,022 : 31,167 = 31,167 : x - Step 2: Convert to fraction form
20,022/31,167 = 31,167/x - Step 3: Cross multiply
20,022x = 31,167 × 31,167 - Step 4: Simplify right side
20,022x = 971,381,889 - Step 5: Solve for x
x = 971,381,889/20,022 - Step 6: Final answer
x = 48,515.73
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.