Finding the Third Proportional to 21,018 and 31,441
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Solution
The third proportional to 21,018 and 31,441 is: 47,032.85
Step by Step Solution
- Step 1: Write the proportion equation
21,018 : 31,441 = 31,441 : x - Step 2: Convert to fraction form
21,018/31,441 = 31,441/x - Step 3: Cross multiply
21,018x = 31,441 × 31,441 - Step 4: Simplify right side
21,018x = 988,536,481 - Step 5: Solve for x
x = 988,536,481/21,018 - Step 6: Final answer
x = 47,032.85
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.