Finding the Third Proportional to 7,342 and 16,007
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Solution
The third proportional to 7,342 and 16,007 is: 34,898.40
Step by Step Solution
- Step 1: Write the proportion equation
7,342 : 16,007 = 16,007 : x - Step 2: Convert to fraction form
7,342/16,007 = 16,007/x - Step 3: Cross multiply
7,342x = 16,007 × 16,007 - Step 4: Simplify right side
7,342x = 256,224,049 - Step 5: Solve for x
x = 256,224,049/7,342 - Step 6: Final answer
x = 34,898.40
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.