Finding the Third Proportional to 12,771 and 21,105
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Solution
The third proportional to 12,771 and 21,105 is: 34,877.54
Step by Step Solution
- Step 1: Write the proportion equation
12,771 : 21,105 = 21,105 : x - Step 2: Convert to fraction form
12,771/21,105 = 21,105/x - Step 3: Cross multiply
12,771x = 21,105 × 21,105 - Step 4: Simplify right side
12,771x = 445,421,025 - Step 5: Solve for x
x = 445,421,025/12,771 - Step 6: Final answer
x = 34,877.54
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.