Finding the Third Proportional to 31,378 and 43,980
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Solution
The third proportional to 31,378 and 43,980 is: 61,643.20
Step by Step Solution
- Step 1: Write the proportion equation
31,378 : 43,980 = 43,980 : x - Step 2: Convert to fraction form
31,378/43,980 = 43,980/x - Step 3: Cross multiply
31,378x = 43,980 × 43,980 - Step 4: Simplify right side
31,378x = 1,934,240,400 - Step 5: Solve for x
x = 1,934,240,400/31,378 - Step 6: Final answer
x = 61,643.20
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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.