Finding the Third Proportional to 7,494 and 10,794
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Solution
The third proportional to 7,494 and 10,794 is: 15,547.16
Step by Step Solution
- Step 1: Write the proportion equation
7,494 : 10,794 = 10,794 : x - Step 2: Convert to fraction form
7,494/10,794 = 10,794/x - Step 3: Cross multiply
7,494x = 10,794 × 10,794 - Step 4: Simplify right side
7,494x = 116,510,436 - Step 5: Solve for x
x = 116,510,436/7,494 - Step 6: Final answer
x = 15,547.16
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.