Finding the Third Proportional to 8,640 and 17,280
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Solution
The third proportional to 8,640 and 17,280 is: 34,560
Step by Step Solution
- Step 1: Write the proportion equation
8,640 : 17,280 = 17,280 : x - Step 2: Convert to fraction form
8,640/17,280 = 17,280/x - Step 3: Cross multiply
8,640x = 17,280 × 17,280 - Step 4: Simplify right side
8,640x = 298,598,400 - Step 5: Solve for x
x = 298,598,400/8,640 - Step 6: Final answer
x = 34,560
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.