Finding the Third Proportional to 12,800 and 15,520
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Solution
The third proportional to 12,800 and 15,520 is: 18,818
Step by Step Solution
- Step 1: Write the proportion equation
12,800 : 15,520 = 15,520 : x - Step 2: Convert to fraction form
12,800/15,520 = 15,520/x - Step 3: Cross multiply
12,800x = 15,520 × 15,520 - Step 4: Simplify right side
12,800x = 240,870,400 - Step 5: Solve for x
x = 240,870,400/12,800 - Step 6: Final answer
x = 18,818
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.