Finding the Third Proportional to 21,783 and 32,036
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Solution
The third proportional to 21,783 and 32,036 is: 47,114.97
Step by Step Solution
- Step 1: Write the proportion equation
21,783 : 32,036 = 32,036 : x - Step 2: Convert to fraction form
21,783/32,036 = 32,036/x - Step 3: Cross multiply
21,783x = 32,036 × 32,036 - Step 4: Simplify right side
21,783x = 1,026,305,296 - Step 5: Solve for x
x = 1,026,305,296/21,783 - Step 6: Final answer
x = 47,114.97
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.