Finding the Third Proportional to 37,794.09 and 83,721.09
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Solution
The third proportional to 37,794.09 and 83,721.09 is: 185,458.12
Step by Step Solution
- Step 1: Write the proportion equation
37,794.09 : 83,721.09 = 83,721.09 : x - Step 2: Convert to fraction form
37,794.09/83,721.09 = 83,721.09/x - Step 3: Cross multiply
37,794.09x = 83,721.09 × 83,721.09 - Step 4: Simplify right side
37,794.09x = 7,009,221,538.70 - Step 5: Solve for x
x = 7,009,221,538.70/37,794.09 - Step 6: Final answer
x = 185,458.12
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.