Finding the Third Proportional to 7,980 and 16,356
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Solution
The third proportional to 7,980 and 16,356 is: 33,523.65
Step by Step Solution
- Step 1: Write the proportion equation
7,980 : 16,356 = 16,356 : x - Step 2: Convert to fraction form
7,980/16,356 = 16,356/x - Step 3: Cross multiply
7,980x = 16,356 × 16,356 - Step 4: Simplify right side
7,980x = 267,518,736 - Step 5: Solve for x
x = 267,518,736/7,980 - Step 6: Final answer
x = 33,523.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.