Finding the Third Proportional to 47,009 and 103,321
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Solution
The third proportional to 47,009 and 103,321 is: 227,089.05
Step by Step Solution
- Step 1: Write the proportion equation
47,009 : 103,321 = 103,321 : x - Step 2: Convert to fraction form
47,009/103,321 = 103,321/x - Step 3: Cross multiply
47,009x = 103,321 × 103,321 - Step 4: Simplify right side
47,009x = 10,675,229,041 - Step 5: Solve for x
x = 10,675,229,041/47,009 - Step 6: Final answer
x = 227,089.05
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.