Finding the Third Proportional to 21,726 and 31,819
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Solution
The third proportional to 21,726 and 31,819 is: 46,600.79
Step by Step Solution
- Step 1: Write the proportion equation
21,726 : 31,819 = 31,819 : x - Step 2: Convert to fraction form
21,726/31,819 = 31,819/x - Step 3: Cross multiply
21,726x = 31,819 × 31,819 - Step 4: Simplify right side
21,726x = 1,012,448,761 - Step 5: Solve for x
x = 1,012,448,761/21,726 - Step 6: Final answer
x = 46,600.79
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.