Finding the Third Proportional to 9,761 and 23,020
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Solution
The third proportional to 9,761 and 23,020 is: 54,289.56
Step by Step Solution
- Step 1: Write the proportion equation
9,761 : 23,020 = 23,020 : x - Step 2: Convert to fraction form
9,761/23,020 = 23,020/x - Step 3: Cross multiply
9,761x = 23,020 × 23,020 - Step 4: Simplify right side
9,761x = 529,920,400 - Step 5: Solve for x
x = 529,920,400/9,761 - Step 6: Final answer
x = 54,289.56
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.