Finding the Third Proportional to 9,864 and 20,640
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Solution
The third proportional to 9,864 and 20,640 is: 43,188.32
Step by Step Solution
- Step 1: Write the proportion equation
9,864 : 20,640 = 20,640 : x - Step 2: Convert to fraction form
9,864/20,640 = 20,640/x - Step 3: Cross multiply
9,864x = 20,640 × 20,640 - Step 4: Simplify right side
9,864x = 426,009,600 - Step 5: Solve for x
x = 426,009,600/9,864 - Step 6: Final answer
x = 43,188.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.