Finding the Third Proportional to 9,780 and 20,945
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Solution
The third proportional to 9,780 and 20,945 is: 44,856.14
Step by Step Solution
- Step 1: Write the proportion equation
9,780 : 20,945 = 20,945 : x - Step 2: Convert to fraction form
9,780/20,945 = 20,945/x - Step 3: Cross multiply
9,780x = 20,945 × 20,945 - Step 4: Simplify right side
9,780x = 438,693,025 - Step 5: Solve for x
x = 438,693,025/9,780 - Step 6: Final answer
x = 44,856.14
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.