Finding the Third Proportional to 9,904 and 19,536
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Solution
The third proportional to 9,904 and 19,536 is: 38,535.47
Step by Step Solution
- Step 1: Write the proportion equation
9,904 : 19,536 = 19,536 : x - Step 2: Convert to fraction form
9,904/19,536 = 19,536/x - Step 3: Cross multiply
9,904x = 19,536 × 19,536 - Step 4: Simplify right side
9,904x = 381,655,296 - Step 5: Solve for x
x = 381,655,296/9,904 - Step 6: Final answer
x = 38,535.47
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.