Finding the Third Proportional to 9,800 and 15,540
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Solution
The third proportional to 9,800 and 15,540 is: 24,642
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 15,540 = 15,540 : x - Step 2: Convert to fraction form
9,800/15,540 = 15,540/x - Step 3: Cross multiply
9,800x = 15,540 × 15,540 - Step 4: Simplify right side
9,800x = 241,491,600 - Step 5: Solve for x
x = 241,491,600/9,800 - Step 6: Final answer
x = 24,642
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.