Finding the Third Proportional to 32,292 and 47,382
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Solution
The third proportional to 32,292 and 47,382 is: 69,523.53
Step by Step Solution
- Step 1: Write the proportion equation
32,292 : 47,382 = 47,382 : x - Step 2: Convert to fraction form
32,292/47,382 = 47,382/x - Step 3: Cross multiply
32,292x = 47,382 × 47,382 - Step 4: Simplify right side
32,292x = 2,245,053,924 - Step 5: Solve for x
x = 2,245,053,924/32,292 - Step 6: Final answer
x = 69,523.53
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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.