Finding the Third Proportional to 5,760 and 12,240
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Solution
The third proportional to 5,760 and 12,240 is: 26,010
Step by Step Solution
- Step 1: Write the proportion equation
5,760 : 12,240 = 12,240 : x - Step 2: Convert to fraction form
5,760/12,240 = 12,240/x - Step 3: Cross multiply
5,760x = 12,240 × 12,240 - Step 4: Simplify right side
5,760x = 149,817,600 - Step 5: Solve for x
x = 149,817,600/5,760 - Step 6: Final answer
x = 26,010
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.