Finding the Third Proportional to 35,200 and 71,623
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Solution
The third proportional to 35,200 and 71,623 is: 145,734.49
Step by Step Solution
- Step 1: Write the proportion equation
35,200 : 71,623 = 71,623 : x - Step 2: Convert to fraction form
35,200/71,623 = 71,623/x - Step 3: Cross multiply
35,200x = 71,623 × 71,623 - Step 4: Simplify right side
35,200x = 5,129,854,129 - Step 5: Solve for x
x = 5,129,854,129/35,200 - Step 6: Final answer
x = 145,734.49
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.