Finding the Third Proportional to 21,742 and 47,634
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Solution
The third proportional to 21,742 and 47,634 is: 104,360.13
Step by Step Solution
- Step 1: Write the proportion equation
21,742 : 47,634 = 47,634 : x - Step 2: Convert to fraction form
21,742/47,634 = 47,634/x - Step 3: Cross multiply
21,742x = 47,634 × 47,634 - Step 4: Simplify right side
21,742x = 2,268,997,956 - Step 5: Solve for x
x = 2,268,997,956/21,742 - Step 6: Final answer
x = 104,360.13
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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.