Finding the Third Proportional to 9,204 and 10,548
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Solution
The third proportional to 9,204 and 10,548 is: 12,088.26
Step by Step Solution
- Step 1: Write the proportion equation
9,204 : 10,548 = 10,548 : x - Step 2: Convert to fraction form
9,204/10,548 = 10,548/x - Step 3: Cross multiply
9,204x = 10,548 × 10,548 - Step 4: Simplify right side
9,204x = 111,260,304 - Step 5: Solve for x
x = 111,260,304/9,204 - Step 6: Final answer
x = 12,088.26
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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.