Finding the Third Proportional to 20,436 and 31,656
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Solution
The third proportional to 20,436 and 31,656 is: 49,036.13
Step by Step Solution
- Step 1: Write the proportion equation
20,436 : 31,656 = 31,656 : x - Step 2: Convert to fraction form
20,436/31,656 = 31,656/x - Step 3: Cross multiply
20,436x = 31,656 × 31,656 - Step 4: Simplify right side
20,436x = 1,002,102,336 - Step 5: Solve for x
x = 1,002,102,336/20,436 - Step 6: Final answer
x = 49,036.13
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.