Finding the Third Proportional to 22,007 and 32,016
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Solution
The third proportional to 22,007 and 32,016 is: 46,577.19
Step by Step Solution
- Step 1: Write the proportion equation
22,007 : 32,016 = 32,016 : x - Step 2: Convert to fraction form
22,007/32,016 = 32,016/x - Step 3: Cross multiply
22,007x = 32,016 × 32,016 - Step 4: Simplify right side
22,007x = 1,025,024,256 - Step 5: Solve for x
x = 1,025,024,256/22,007 - Step 6: Final answer
x = 46,577.19
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.