Finding the Third Proportional to 12,288 and 16,530
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Solution
The third proportional to 12,288 and 16,530 is: 22,236.40
Step by Step Solution
- Step 1: Write the proportion equation
12,288 : 16,530 = 16,530 : x - Step 2: Convert to fraction form
12,288/16,530 = 16,530/x - Step 3: Cross multiply
12,288x = 16,530 × 16,530 - Step 4: Simplify right side
12,288x = 273,240,900 - Step 5: Solve for x
x = 273,240,900/12,288 - Step 6: Final answer
x = 22,236.40
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.