Finding the Third Proportional to 21,189 and 31,761
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Solution
The third proportional to 21,189 and 31,761 is: 47,607.77
Step by Step Solution
- Step 1: Write the proportion equation
21,189 : 31,761 = 31,761 : x - Step 2: Convert to fraction form
21,189/31,761 = 31,761/x - Step 3: Cross multiply
21,189x = 31,761 × 31,761 - Step 4: Simplify right side
21,189x = 1,008,761,121 - Step 5: Solve for x
x = 1,008,761,121/21,189 - Step 6: Final answer
x = 47,607.77
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.