Finding the Third Proportional to 46,470 and 73,850
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Solution
The third proportional to 46,470 and 73,850 is: 117,362.22
Step by Step Solution
- Step 1: Write the proportion equation
46,470 : 73,850 = 73,850 : x - Step 2: Convert to fraction form
46,470/73,850 = 73,850/x - Step 3: Cross multiply
46,470x = 73,850 × 73,850 - Step 4: Simplify right side
46,470x = 5,453,822,500 - Step 5: Solve for x
x = 5,453,822,500/46,470 - Step 6: Final answer
x = 117,362.22
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.