Finding the Third Proportional to 44,097 and 96,974
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Solution
The third proportional to 44,097 and 96,974 is: 213,256.16
Step by Step Solution
- Step 1: Write the proportion equation
44,097 : 96,974 = 96,974 : x - Step 2: Convert to fraction form
44,097/96,974 = 96,974/x - Step 3: Cross multiply
44,097x = 96,974 × 96,974 - Step 4: Simplify right side
44,097x = 9,403,956,676 - Step 5: Solve for x
x = 9,403,956,676/44,097 - Step 6: Final answer
x = 213,256.16
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.