Finding the Third Proportional to 47,628 and 103,722
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Solution
The third proportional to 47,628 and 103,722 is: 225,880.85
Step by Step Solution
- Step 1: Write the proportion equation
47,628 : 103,722 = 103,722 : x - Step 2: Convert to fraction form
47,628/103,722 = 103,722/x - Step 3: Cross multiply
47,628x = 103,722 × 103,722 - Step 4: Simplify right side
47,628x = 10,758,253,284 - Step 5: Solve for x
x = 10,758,253,284/47,628 - Step 6: Final answer
x = 225,880.85
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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.