Finding the Third Proportional to 14,424 and 31,296
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Solution
The third proportional to 14,424 and 31,296 is: 67,903.47
Step by Step Solution
- Step 1: Write the proportion equation
14,424 : 31,296 = 31,296 : x - Step 2: Convert to fraction form
14,424/31,296 = 31,296/x - Step 3: Cross multiply
14,424x = 31,296 × 31,296 - Step 4: Simplify right side
14,424x = 979,439,616 - Step 5: Solve for x
x = 979,439,616/14,424 - Step 6: Final answer
x = 67,903.47
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.