Finding the Third Proportional to 20,428 and 32,775
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Solution
The third proportional to 20,428 and 32,775 is: 52,584.72
Step by Step Solution
- Step 1: Write the proportion equation
20,428 : 32,775 = 32,775 : x - Step 2: Convert to fraction form
20,428/32,775 = 32,775/x - Step 3: Cross multiply
20,428x = 32,775 × 32,775 - Step 4: Simplify right side
20,428x = 1,074,200,625 - Step 5: Solve for x
x = 1,074,200,625/20,428 - Step 6: Final answer
x = 52,584.72
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.