Finding the Third Proportional to 17,724 and 37,320
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Solution
The third proportional to 17,724 and 37,320 is: 78,581.72
Step by Step Solution
- Step 1: Write the proportion equation
17,724 : 37,320 = 37,320 : x - Step 2: Convert to fraction form
17,724/37,320 = 37,320/x - Step 3: Cross multiply
17,724x = 37,320 × 37,320 - Step 4: Simplify right side
17,724x = 1,392,782,400 - Step 5: Solve for x
x = 1,392,782,400/17,724 - Step 6: Final answer
x = 78,581.72
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.