Finding the Third Proportional to 37,422 and 55,971
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Solution
The third proportional to 37,422 and 55,971 is: 83,714.20
Step by Step Solution
- Step 1: Write the proportion equation
37,422 : 55,971 = 55,971 : x - Step 2: Convert to fraction form
37,422/55,971 = 55,971/x - Step 3: Cross multiply
37,422x = 55,971 × 55,971 - Step 4: Simplify right side
37,422x = 3,132,752,841 - Step 5: Solve for x
x = 3,132,752,841/37,422 - Step 6: Final answer
x = 83,714.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.