Finding the Third Proportional to 7,924.50 and 17,361
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Solution
The third proportional to 7,924.50 and 17,361 is: 38,034.49
Step by Step Solution
- Step 1: Write the proportion equation
7,924.50 : 17,361 = 17,361 : x - Step 2: Convert to fraction form
7,924.50/17,361 = 17,361/x - Step 3: Cross multiply
7,924.50x = 17,361 × 17,361 - Step 4: Simplify right side
7,924.50x = 301,404,321 - Step 5: Solve for x
x = 301,404,321/7,924.50 - Step 6: Final answer
x = 38,034.49
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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.