Finding the Third Proportional to 17,212.50 and 37,584
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Solution
The third proportional to 17,212.50 and 37,584 is: 82,065.77
Step by Step Solution
- Step 1: Write the proportion equation
17,212.50 : 37,584 = 37,584 : x - Step 2: Convert to fraction form
17,212.50/37,584 = 37,584/x - Step 3: Cross multiply
17,212.50x = 37,584 × 37,584 - Step 4: Simplify right side
17,212.50x = 1,412,557,056 - Step 5: Solve for x
x = 1,412,557,056/17,212.50 - Step 6: Final answer
x = 82,065.77
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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.