Finding the Third Proportional to 33,102 and 70,941
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Solution
The third proportional to 33,102 and 70,941 is: 152,033.88
Step by Step Solution
- Step 1: Write the proportion equation
33,102 : 70,941 = 70,941 : x - Step 2: Convert to fraction form
33,102/70,941 = 70,941/x - Step 3: Cross multiply
33,102x = 70,941 × 70,941 - Step 4: Simplify right side
33,102x = 5,032,625,481 - Step 5: Solve for x
x = 5,032,625,481/33,102 - Step 6: Final answer
x = 152,033.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.