Finding the Third Proportional to 20,776 and 32,496
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Solution
The third proportional to 20,776 and 32,496 is: 50,827.40
Step by Step Solution
- Step 1: Write the proportion equation
20,776 : 32,496 = 32,496 : x - Step 2: Convert to fraction form
20,776/32,496 = 32,496/x - Step 3: Cross multiply
20,776x = 32,496 × 32,496 - Step 4: Simplify right side
20,776x = 1,055,990,016 - Step 5: Solve for x
x = 1,055,990,016/20,776 - Step 6: Final answer
x = 50,827.40
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.