Finding the Third Proportional to 19,839 and 31,899
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Solution
The third proportional to 19,839 and 31,899 is: 51,290.20
Step by Step Solution
- Step 1: Write the proportion equation
19,839 : 31,899 = 31,899 : x - Step 2: Convert to fraction form
19,839/31,899 = 31,899/x - Step 3: Cross multiply
19,839x = 31,899 × 31,899 - Step 4: Simplify right side
19,839x = 1,017,546,201 - Step 5: Solve for x
x = 1,017,546,201/19,839 - Step 6: Final answer
x = 51,290.20
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.