Finding the Third Proportional to 14,071 and 21,162
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Solution
The third proportional to 14,071 and 21,162 is: 31,826.47
Step by Step Solution
- Step 1: Write the proportion equation
14,071 : 21,162 = 21,162 : x - Step 2: Convert to fraction form
14,071/21,162 = 21,162/x - Step 3: Cross multiply
14,071x = 21,162 × 21,162 - Step 4: Simplify right side
14,071x = 447,830,244 - Step 5: Solve for x
x = 447,830,244/14,071 - Step 6: Final answer
x = 31,826.47
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.