Finding the Third Proportional to 32,011 and 42,831
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Solution
The third proportional to 32,011 and 42,831 is: 57,308.26
Step by Step Solution
- Step 1: Write the proportion equation
32,011 : 42,831 = 42,831 : x - Step 2: Convert to fraction form
32,011/42,831 = 42,831/x - Step 3: Cross multiply
32,011x = 42,831 × 42,831 - Step 4: Simplify right side
32,011x = 1,834,494,561 - Step 5: Solve for x
x = 1,834,494,561/32,011 - Step 6: Final answer
x = 57,308.26
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.