Finding the Third Proportional to 20,758 and 27,306
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Solution
The third proportional to 20,758 and 27,306 is: 35,919.53
Step by Step Solution
- Step 1: Write the proportion equation
20,758 : 27,306 = 27,306 : x - Step 2: Convert to fraction form
20,758/27,306 = 27,306/x - Step 3: Cross multiply
20,758x = 27,306 × 27,306 - Step 4: Simplify right side
20,758x = 745,617,636 - Step 5: Solve for x
x = 745,617,636/20,758 - Step 6: Final answer
x = 35,919.53
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.