Finding the Third Proportional to 32,194 and 47,328
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Solution
The third proportional to 32,194 and 47,328 is: 69,576.31
Step by Step Solution
- Step 1: Write the proportion equation
32,194 : 47,328 = 47,328 : x - Step 2: Convert to fraction form
32,194/47,328 = 47,328/x - Step 3: Cross multiply
32,194x = 47,328 × 47,328 - Step 4: Simplify right side
32,194x = 2,239,939,584 - Step 5: Solve for x
x = 2,239,939,584/32,194 - Step 6: Final answer
x = 69,576.31
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.