Finding the Third Proportional to 10,014 and 12,804
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Solution
The third proportional to 10,014 and 12,804 is: 16,371.32
Step by Step Solution
- Step 1: Write the proportion equation
10,014 : 12,804 = 12,804 : x - Step 2: Convert to fraction form
10,014/12,804 = 12,804/x - Step 3: Cross multiply
10,014x = 12,804 × 12,804 - Step 4: Simplify right side
10,014x = 163,942,416 - Step 5: Solve for x
x = 163,942,416/10,014 - Step 6: Final answer
x = 16,371.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.