Finding the Third Proportional to 17,800 and 23,772
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Solution
The third proportional to 17,800 and 23,772 is: 31,747.64
Step by Step Solution
- Step 1: Write the proportion equation
17,800 : 23,772 = 23,772 : x - Step 2: Convert to fraction form
17,800/23,772 = 23,772/x - Step 3: Cross multiply
17,800x = 23,772 × 23,772 - Step 4: Simplify right side
17,800x = 565,107,984 - Step 5: Solve for x
x = 565,107,984/17,800 - Step 6: Final answer
x = 31,747.64
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.