Finding the Third Proportional to 6,944 and 10,416
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Solution
The third proportional to 6,944 and 10,416 is: 15,624
Step by Step Solution
- Step 1: Write the proportion equation
6,944 : 10,416 = 10,416 : x - Step 2: Convert to fraction form
6,944/10,416 = 10,416/x - Step 3: Cross multiply
6,944x = 10,416 × 10,416 - Step 4: Simplify right side
6,944x = 108,493,056 - Step 5: Solve for x
x = 108,493,056/6,944 - Step 6: Final answer
x = 15,624
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.