Finding the Third Proportional to 20,896 and 31,344
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Solution
The third proportional to 20,896 and 31,344 is: 47,016
Step by Step Solution
- Step 1: Write the proportion equation
20,896 : 31,344 = 31,344 : x - Step 2: Convert to fraction form
20,896/31,344 = 31,344/x - Step 3: Cross multiply
20,896x = 31,344 × 31,344 - Step 4: Simplify right side
20,896x = 982,446,336 - Step 5: Solve for x
x = 982,446,336/20,896 - Step 6: Final answer
x = 47,016
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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.