Finding the Third Proportional to 30,884 and 41,951
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Solution
The third proportional to 30,884 and 41,951 is: 56,983.76
Step by Step Solution
- Step 1: Write the proportion equation
30,884 : 41,951 = 41,951 : x - Step 2: Convert to fraction form
30,884/41,951 = 41,951/x - Step 3: Cross multiply
30,884x = 41,951 × 41,951 - Step 4: Simplify right side
30,884x = 1,759,886,401 - Step 5: Solve for x
x = 1,759,886,401/30,884 - Step 6: Final answer
x = 56,983.76
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.