Finding the Third Proportional to 33,003 and 72,570
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Solution
The third proportional to 33,003 and 72,570 is: 159,573.52
Step by Step Solution
- Step 1: Write the proportion equation
33,003 : 72,570 = 72,570 : x - Step 2: Convert to fraction form
33,003/72,570 = 72,570/x - Step 3: Cross multiply
33,003x = 72,570 × 72,570 - Step 4: Simplify right side
33,003x = 5,266,404,900 - Step 5: Solve for x
x = 5,266,404,900/33,003 - Step 6: Final answer
x = 159,573.52
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.