Finding the Third Proportional to 7,420 and 12,474
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Solution
The third proportional to 7,420 and 12,474 is: 20,970.44
Step by Step Solution
- Step 1: Write the proportion equation
7,420 : 12,474 = 12,474 : x - Step 2: Convert to fraction form
7,420/12,474 = 12,474/x - Step 3: Cross multiply
7,420x = 12,474 × 12,474 - Step 4: Simplify right side
7,420x = 155,600,676 - Step 5: Solve for x
x = 155,600,676/7,420 - Step 6: Final answer
x = 20,970.44
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Why These Related Problems?
These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.