Finding the Third Proportional to 9,940 and 20,510
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Solution
The third proportional to 9,940 and 20,510 is: 42,319.93
Step by Step Solution
- Step 1: Write the proportion equation
9,940 : 20,510 = 20,510 : x - Step 2: Convert to fraction form
9,940/20,510 = 20,510/x - Step 3: Cross multiply
9,940x = 20,510 × 20,510 - Step 4: Simplify right side
9,940x = 420,660,100 - Step 5: Solve for x
x = 420,660,100/9,940 - Step 6: Final answer
x = 42,319.93
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.