Finding the Third Proportional to 17,314 and 37,664
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Solution
The third proportional to 17,314 and 37,664 is: 81,932.36
Step by Step Solution
- Step 1: Write the proportion equation
17,314 : 37,664 = 37,664 : x - Step 2: Convert to fraction form
17,314/37,664 = 37,664/x - Step 3: Cross multiply
17,314x = 37,664 × 37,664 - Step 4: Simplify right side
17,314x = 1,418,576,896 - Step 5: Solve for x
x = 1,418,576,896/17,314 - Step 6: Final answer
x = 81,932.36
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.