Finding the Third Proportional to 20,717 and 31,969
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Solution
The third proportional to 20,717 and 31,969 is: 49,332.29
Step by Step Solution
- Step 1: Write the proportion equation
20,717 : 31,969 = 31,969 : x - Step 2: Convert to fraction form
20,717/31,969 = 31,969/x - Step 3: Cross multiply
20,717x = 31,969 × 31,969 - Step 4: Simplify right side
20,717x = 1,022,016,961 - Step 5: Solve for x
x = 1,022,016,961/20,717 - Step 6: Final answer
x = 49,332.29
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.