Finding the Third Proportional to 20,240 and 42,304
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Solution
The third proportional to 20,240 and 42,304 is: 88,420.38
Step by Step Solution
- Step 1: Write the proportion equation
20,240 : 42,304 = 42,304 : x - Step 2: Convert to fraction form
20,240/42,304 = 42,304/x - Step 3: Cross multiply
20,240x = 42,304 × 42,304 - Step 4: Simplify right side
20,240x = 1,789,628,416 - Step 5: Solve for x
x = 1,789,628,416/20,240 - Step 6: Final answer
x = 88,420.38
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.