Finding the Third Proportional to 12,964 and 20,112
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Solution
The third proportional to 12,964 and 20,112 is: 31,201.21
Step by Step Solution
- Step 1: Write the proportion equation
12,964 : 20,112 = 20,112 : x - Step 2: Convert to fraction form
12,964/20,112 = 20,112/x - Step 3: Cross multiply
12,964x = 20,112 × 20,112 - Step 4: Simplify right side
12,964x = 404,492,544 - Step 5: Solve for x
x = 404,492,544/12,964 - Step 6: Final answer
x = 31,201.21
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.