Finding the Third Proportional to 20,734 and 31,886
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Solution
The third proportional to 20,734 and 31,886 is: 49,036.22
Step by Step Solution
- Step 1: Write the proportion equation
20,734 : 31,886 = 31,886 : x - Step 2: Convert to fraction form
20,734/31,886 = 31,886/x - Step 3: Cross multiply
20,734x = 31,886 × 31,886 - Step 4: Simplify right side
20,734x = 1,016,716,996 - Step 5: Solve for x
x = 1,016,716,996/20,734 - Step 6: Final answer
x = 49,036.22
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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.