Finding the Third Proportional to 49,842 and 71,091
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Solution
The third proportional to 49,842 and 71,091 is: 101,399.03
Step by Step Solution
- Step 1: Write the proportion equation
49,842 : 71,091 = 71,091 : x - Step 2: Convert to fraction form
49,842/71,091 = 71,091/x - Step 3: Cross multiply
49,842x = 71,091 × 71,091 - Step 4: Simplify right side
49,842x = 5,053,930,281 - Step 5: Solve for x
x = 5,053,930,281/49,842 - Step 6: Final answer
x = 101,399.03
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.