Finding the Third Proportional to 21,242 and 31,871
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Solution
The third proportional to 21,242 and 31,871 is: 47,818.50
Step by Step Solution
- Step 1: Write the proportion equation
21,242 : 31,871 = 31,871 : x - Step 2: Convert to fraction form
21,242/31,871 = 31,871/x - Step 3: Cross multiply
21,242x = 31,871 × 31,871 - Step 4: Simplify right side
21,242x = 1,015,760,641 - Step 5: Solve for x
x = 1,015,760,641/21,242 - Step 6: Final answer
x = 47,818.50
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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.