Finding the Third Proportional to 21,831 and 47,748
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Solution
The third proportional to 21,831 and 47,748 is: 104,432.76
Step by Step Solution
- Step 1: Write the proportion equation
21,831 : 47,748 = 47,748 : x - Step 2: Convert to fraction form
21,831/47,748 = 47,748/x - Step 3: Cross multiply
21,831x = 47,748 × 47,748 - Step 4: Simplify right side
21,831x = 2,279,871,504 - Step 5: Solve for x
x = 2,279,871,504/21,831 - Step 6: Final answer
x = 104,432.76
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.