Finding the Third Proportional to 2,560 and 5,440
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Solution
The third proportional to 2,560 and 5,440 is: 11,560
Step by Step Solution
- Step 1: Write the proportion equation
2,560 : 5,440 = 5,440 : x - Step 2: Convert to fraction form
2,560/5,440 = 5,440/x - Step 3: Cross multiply
2,560x = 5,440 × 5,440 - Step 4: Simplify right side
2,560x = 29,593,600 - Step 5: Solve for x
x = 29,593,600/2,560 - Step 6: Final answer
x = 11,560
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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.