Finding the Third Proportional to 37,882 and 56,823
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Solution
The third proportional to 37,882 and 56,823 is: 85,234.50
Step by Step Solution
- Step 1: Write the proportion equation
37,882 : 56,823 = 56,823 : x - Step 2: Convert to fraction form
37,882/56,823 = 56,823/x - Step 3: Cross multiply
37,882x = 56,823 × 56,823 - Step 4: Simplify right side
37,882x = 3,228,853,329 - Step 5: Solve for x
x = 3,228,853,329/37,882 - Step 6: Final answer
x = 85,234.50
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Similar ratio
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.