Finding the Third Proportional to 9,560 and 20,416
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Solution
The third proportional to 9,560 and 20,416 is: 43,599.69
Step by Step Solution
- Step 1: Write the proportion equation
9,560 : 20,416 = 20,416 : x - Step 2: Convert to fraction form
9,560/20,416 = 20,416/x - Step 3: Cross multiply
9,560x = 20,416 × 20,416 - Step 4: Simplify right side
9,560x = 416,813,056 - Step 5: Solve for x
x = 416,813,056/9,560 - Step 6: Final answer
x = 43,599.69
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1.5x scale
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.