Finding the Third Proportional to 47,760 and 104,016
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Solution
The third proportional to 47,760 and 104,016 is: 226,535.35
Step by Step Solution
- Step 1: Write the proportion equation
47,760 : 104,016 = 104,016 : x - Step 2: Convert to fraction form
47,760/104,016 = 104,016/x - Step 3: Cross multiply
47,760x = 104,016 × 104,016 - Step 4: Simplify right side
47,760x = 10,819,328,256 - Step 5: Solve for x
x = 10,819,328,256/47,760 - Step 6: Final answer
x = 226,535.35
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.