Finding the Third Proportional to 17,283 and 37,914
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Solution
The third proportional to 17,283 and 37,914 is: 83,172.56
Step by Step Solution
- Step 1: Write the proportion equation
17,283 : 37,914 = 37,914 : x - Step 2: Convert to fraction form
17,283/37,914 = 37,914/x - Step 3: Cross multiply
17,283x = 37,914 × 37,914 - Step 4: Simplify right side
17,283x = 1,437,471,396 - Step 5: Solve for x
x = 1,437,471,396/17,283 - Step 6: Final answer
x = 83,172.56
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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.