Finding the Third Proportional to 47,422 and 73,185
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Solution
The third proportional to 47,422 and 73,185 is: 112,944.29
Step by Step Solution
- Step 1: Write the proportion equation
47,422 : 73,185 = 73,185 : x - Step 2: Convert to fraction form
47,422/73,185 = 73,185/x - Step 3: Cross multiply
47,422x = 73,185 × 73,185 - Step 4: Simplify right side
47,422x = 5,356,044,225 - Step 5: Solve for x
x = 5,356,044,225/47,422 - Step 6: Final answer
x = 112,944.29
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.