Finding the Third Proportional to 12,036 and 13,764
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Solution
The third proportional to 12,036 and 13,764 is: 15,740.09
Step by Step Solution
- Step 1: Write the proportion equation
12,036 : 13,764 = 13,764 : x - Step 2: Convert to fraction form
12,036/13,764 = 13,764/x - Step 3: Cross multiply
12,036x = 13,764 × 13,764 - Step 4: Simplify right side
12,036x = 189,447,696 - Step 5: Solve for x
x = 189,447,696/12,036 - Step 6: Final answer
x = 15,740.09
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.