Finding the Third Proportional to 24,378 and 36,407
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Solution
The third proportional to 24,378 and 36,407 is: 54,371.55
Step by Step Solution
- Step 1: Write the proportion equation
24,378 : 36,407 = 36,407 : x - Step 2: Convert to fraction form
24,378/36,407 = 36,407/x - Step 3: Cross multiply
24,378x = 36,407 × 36,407 - Step 4: Simplify right side
24,378x = 1,325,469,649 - Step 5: Solve for x
x = 1,325,469,649/24,378 - Step 6: Final answer
x = 54,371.55
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.