Finding the Third Proportional to 22,694 and 31,743
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Solution
The third proportional to 22,694 and 31,743 is: 44,400.20
Step by Step Solution
- Step 1: Write the proportion equation
22,694 : 31,743 = 31,743 : x - Step 2: Convert to fraction form
22,694/31,743 = 31,743/x - Step 3: Cross multiply
22,694x = 31,743 × 31,743 - Step 4: Simplify right side
22,694x = 1,007,618,049 - Step 5: Solve for x
x = 1,007,618,049/22,694 - Step 6: Final answer
x = 44,400.20
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.