Finding the Third Proportional to 20,696 and 31,236
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Solution
The third proportional to 20,696 and 31,236 is: 47,143.78
Step by Step Solution
- Step 1: Write the proportion equation
20,696 : 31,236 = 31,236 : x - Step 2: Convert to fraction form
20,696/31,236 = 31,236/x - Step 3: Cross multiply
20,696x = 31,236 × 31,236 - Step 4: Simplify right side
20,696x = 975,687,696 - Step 5: Solve for x
x = 975,687,696/20,696 - Step 6: Final answer
x = 47,143.78
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.