Finding the Third Proportional to 16,172 and 21,731
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Solution
The third proportional to 16,172 and 21,731 is: 29,200.86
Step by Step Solution
- Step 1: Write the proportion equation
16,172 : 21,731 = 21,731 : x - Step 2: Convert to fraction form
16,172/21,731 = 21,731/x - Step 3: Cross multiply
16,172x = 21,731 × 21,731 - Step 4: Simplify right side
16,172x = 472,236,361 - Step 5: Solve for x
x = 472,236,361/16,172 - Step 6: Final answer
x = 29,200.86
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.