Finding the Third Proportional to 19,892 and 31,982
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Solution
The third proportional to 19,892 and 31,982 is: 51,420.08
Step by Step Solution
- Step 1: Write the proportion equation
19,892 : 31,982 = 31,982 : x - Step 2: Convert to fraction form
19,892/31,982 = 31,982/x - Step 3: Cross multiply
19,892x = 31,982 × 31,982 - Step 4: Simplify right side
19,892x = 1,022,848,324 - Step 5: Solve for x
x = 1,022,848,324/19,892 - Step 6: Final answer
x = 51,420.08
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.