Finding the Third Proportional to 12,862 and 20,045
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Solution
The third proportional to 12,862 and 20,045 is: 31,239.47
Step by Step Solution
- Step 1: Write the proportion equation
12,862 : 20,045 = 20,045 : x - Step 2: Convert to fraction form
12,862/20,045 = 20,045/x - Step 3: Cross multiply
12,862x = 20,045 × 20,045 - Step 4: Simplify right side
12,862x = 401,802,025 - Step 5: Solve for x
x = 401,802,025/12,862 - Step 6: Final answer
x = 31,239.47
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.