Finding the Third Proportional to 10,812 and 12,420
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Solution
The third proportional to 10,812 and 12,420 is: 14,267.15
Step by Step Solution
- Step 1: Write the proportion equation
10,812 : 12,420 = 12,420 : x - Step 2: Convert to fraction form
10,812/12,420 = 12,420/x - Step 3: Cross multiply
10,812x = 12,420 × 12,420 - Step 4: Simplify right side
10,812x = 154,256,400 - Step 5: Solve for x
x = 154,256,400/10,812 - Step 6: Final answer
x = 14,267.15
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.