Finding the Third Proportional to 37,671.75 and 81,897.75
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Solution
The third proportional to 37,671.75 and 81,897.75 is: 178,044.33
Step by Step Solution
- Step 1: Write the proportion equation
37,671.75 : 81,897.75 = 81,897.75 : x - Step 2: Convert to fraction form
37,671.75/81,897.75 = 81,897.75/x - Step 3: Cross multiply
37,671.75x = 81,897.75 × 81,897.75 - Step 4: Simplify right side
37,671.75x = 6,707,241,455.06 - Step 5: Solve for x
x = 6,707,241,455.06/37,671.75 - Step 6: Final answer
x = 178,044.33
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.