Finding the Third Proportional to 20,497 and 27,820
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Solution
The third proportional to 20,497 and 27,820 is: 37,759.30
Step by Step Solution
- Step 1: Write the proportion equation
20,497 : 27,820 = 27,820 : x - Step 2: Convert to fraction form
20,497/27,820 = 27,820/x - Step 3: Cross multiply
20,497x = 27,820 × 27,820 - Step 4: Simplify right side
20,497x = 773,952,400 - Step 5: Solve for x
x = 773,952,400/20,497 - Step 6: Final answer
x = 37,759.30
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.