Finding the Third Proportional to 6,984 and 10,476
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Solution
The third proportional to 6,984 and 10,476 is: 15,714
Step by Step Solution
- Step 1: Write the proportion equation
6,984 : 10,476 = 10,476 : x - Step 2: Convert to fraction form
6,984/10,476 = 10,476/x - Step 3: Cross multiply
6,984x = 10,476 × 10,476 - Step 4: Simplify right side
6,984x = 109,746,576 - Step 5: Solve for x
x = 109,746,576/6,984 - Step 6: Final answer
x = 15,714
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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.