Finding the Third Proportional to 47,750 and 103,996
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Solution
The third proportional to 47,750 and 103,996 is: 226,495.67
Step by Step Solution
- Step 1: Write the proportion equation
47,750 : 103,996 = 103,996 : x - Step 2: Convert to fraction form
47,750/103,996 = 103,996/x - Step 3: Cross multiply
47,750x = 103,996 × 103,996 - Step 4: Simplify right side
47,750x = 10,815,168,016 - Step 5: Solve for x
x = 10,815,168,016/47,750 - Step 6: Final answer
x = 226,495.67
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.