Finding the Third Proportional to 24,715 and 51,478
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Solution
The third proportional to 24,715 and 51,478 is: 107,221.71
Step by Step Solution
- Step 1: Write the proportion equation
24,715 : 51,478 = 51,478 : x - Step 2: Convert to fraction form
24,715/51,478 = 51,478/x - Step 3: Cross multiply
24,715x = 51,478 × 51,478 - Step 4: Simplify right side
24,715x = 2,649,984,484 - Step 5: Solve for x
x = 2,649,984,484/24,715 - Step 6: Final answer
x = 107,221.71
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.