Finding the Third Proportional to 20,120 and 45,184
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Solution
The third proportional to 20,120 and 45,184 is: 101,470.87
Step by Step Solution
- Step 1: Write the proportion equation
20,120 : 45,184 = 45,184 : x - Step 2: Convert to fraction form
20,120/45,184 = 45,184/x - Step 3: Cross multiply
20,120x = 45,184 × 45,184 - Step 4: Simplify right side
20,120x = 2,041,593,856 - Step 5: Solve for x
x = 2,041,593,856/20,120 - Step 6: Final answer
x = 101,470.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.