Finding the Third Proportional to 24,509 and 52,715
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Solution
The third proportional to 24,509 and 52,715 is: 113,381.66
Step by Step Solution
- Step 1: Write the proportion equation
24,509 : 52,715 = 52,715 : x - Step 2: Convert to fraction form
24,509/52,715 = 52,715/x - Step 3: Cross multiply
24,509x = 52,715 × 52,715 - Step 4: Simplify right side
24,509x = 2,778,871,225 - Step 5: Solve for x
x = 2,778,871,225/24,509 - Step 6: Final answer
x = 113,381.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.