Finding the Third Proportional to 5,694 and 12,424
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Solution
The third proportional to 5,694 and 12,424 is: 27,108.50
Step by Step Solution
- Step 1: Write the proportion equation
5,694 : 12,424 = 12,424 : x - Step 2: Convert to fraction form
5,694/12,424 = 12,424/x - Step 3: Cross multiply
5,694x = 12,424 × 12,424 - Step 4: Simplify right side
5,694x = 154,355,776 - Step 5: Solve for x
x = 154,355,776/5,694 - Step 6: Final answer
x = 27,108.50
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.