Finding the Third Proportional to 20,856 and 32,776
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Solution
The third proportional to 20,856 and 32,776 is: 51,508.73
Step by Step Solution
- Step 1: Write the proportion equation
20,856 : 32,776 = 32,776 : x - Step 2: Convert to fraction form
20,856/32,776 = 32,776/x - Step 3: Cross multiply
20,856x = 32,776 × 32,776 - Step 4: Simplify right side
20,856x = 1,074,266,176 - Step 5: Solve for x
x = 1,074,266,176/20,856 - Step 6: Final answer
x = 51,508.73
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.