Finding the Third Proportional to 47,615 and 72,949
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Solution
The third proportional to 47,615 and 72,949 is: 111,762.19
Step by Step Solution
- Step 1: Write the proportion equation
47,615 : 72,949 = 72,949 : x - Step 2: Convert to fraction form
47,615/72,949 = 72,949/x - Step 3: Cross multiply
47,615x = 72,949 × 72,949 - Step 4: Simplify right side
47,615x = 5,321,556,601 - Step 5: Solve for x
x = 5,321,556,601/47,615 - Step 6: Final answer
x = 111,762.19
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.