Finding the Third Proportional to 12,914 and 16,170
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Solution
The third proportional to 12,914 and 16,170 is: 20,246.93
Step by Step Solution
- Step 1: Write the proportion equation
12,914 : 16,170 = 16,170 : x - Step 2: Convert to fraction form
12,914/16,170 = 16,170/x - Step 3: Cross multiply
12,914x = 16,170 × 16,170 - Step 4: Simplify right side
12,914x = 261,468,900 - Step 5: Solve for x
x = 261,468,900/12,914 - Step 6: Final answer
x = 20,246.93
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Why These Related Problems?
These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.