Finding the Third Proportional to 20,896 and 45,744
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Solution
The third proportional to 20,896 and 45,744 is: 100,139.43
Step by Step Solution
- Step 1: Write the proportion equation
20,896 : 45,744 = 45,744 : x - Step 2: Convert to fraction form
20,896/45,744 = 45,744/x - Step 3: Cross multiply
20,896x = 45,744 × 45,744 - Step 4: Simplify right side
20,896x = 2,092,513,536 - Step 5: Solve for x
x = 2,092,513,536/20,896 - Step 6: Final answer
x = 100,139.43
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.