Finding the Third Proportional to 9,456 and 12,424
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Solution
The third proportional to 9,456 and 12,424 is: 16,323.58
Step by Step Solution
- Step 1: Write the proportion equation
9,456 : 12,424 = 12,424 : x - Step 2: Convert to fraction form
9,456/12,424 = 12,424/x - Step 3: Cross multiply
9,456x = 12,424 × 12,424 - Step 4: Simplify right side
9,456x = 154,355,776 - Step 5: Solve for x
x = 154,355,776/9,456 - Step 6: Final answer
x = 16,323.58
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Why These Related Problems?
These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.