Finding the Third Proportional to 6,144 and 13,440
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Solution
The third proportional to 6,144 and 13,440 is: 29,400
Step by Step Solution
- Step 1: Write the proportion equation
6,144 : 13,440 = 13,440 : x - Step 2: Convert to fraction form
6,144/13,440 = 13,440/x - Step 3: Cross multiply
6,144x = 13,440 × 13,440 - Step 4: Simplify right side
6,144x = 180,633,600 - Step 5: Solve for x
x = 180,633,600/6,144 - Step 6: Final answer
x = 29,400
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.