Finding the Third Proportional to 46,680 and 70,884
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Solution
The third proportional to 46,680 and 70,884 is: 107,637.99
Step by Step Solution
- Step 1: Write the proportion equation
46,680 : 70,884 = 70,884 : x - Step 2: Convert to fraction form
46,680/70,884 = 70,884/x - Step 3: Cross multiply
46,680x = 70,884 × 70,884 - Step 4: Simplify right side
46,680x = 5,024,541,456 - Step 5: Solve for x
x = 5,024,541,456/46,680 - Step 6: Final answer
x = 107,637.99
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.