Finding the Third Proportional to 20,428 and 23,668
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Solution
The third proportional to 20,428 and 23,668 is: 27,421.88
Step by Step Solution
- Step 1: Write the proportion equation
20,428 : 23,668 = 23,668 : x - Step 2: Convert to fraction form
20,428/23,668 = 23,668/x - Step 3: Cross multiply
20,428x = 23,668 × 23,668 - Step 4: Simplify right side
20,428x = 560,174,224 - Step 5: Solve for x
x = 560,174,224/20,428 - Step 6: Final answer
x = 27,421.88
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.