Finding the Third Proportional to 9,772 and 20,240
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Solution
The third proportional to 9,772 and 20,240 is: 41,921.57
Step by Step Solution
- Step 1: Write the proportion equation
9,772 : 20,240 = 20,240 : x - Step 2: Convert to fraction form
9,772/20,240 = 20,240/x - Step 3: Cross multiply
9,772x = 20,240 × 20,240 - Step 4: Simplify right side
9,772x = 409,657,600 - Step 5: Solve for x
x = 409,657,600/9,772 - Step 6: Final answer
x = 41,921.57
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.