Finding the Third Proportional to 7,492 and 10,496
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Solution
The third proportional to 7,492 and 10,496 is: 14,704.49
Step by Step Solution
- Step 1: Write the proportion equation
7,492 : 10,496 = 10,496 : x - Step 2: Convert to fraction form
7,492/10,496 = 10,496/x - Step 3: Cross multiply
7,492x = 10,496 × 10,496 - Step 4: Simplify right side
7,492x = 110,166,016 - Step 5: Solve for x
x = 110,166,016/7,492 - Step 6: Final answer
x = 14,704.49
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.