Finding the Third Proportional to 6,596 and 9,878
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Solution
The third proportional to 6,596 and 9,878 is: 14,793.04
Step by Step Solution
- Step 1: Write the proportion equation
6,596 : 9,878 = 9,878 : x - Step 2: Convert to fraction form
6,596/9,878 = 9,878/x - Step 3: Cross multiply
6,596x = 9,878 × 9,878 - Step 4: Simplify right side
6,596x = 97,574,884 - Step 5: Solve for x
x = 97,574,884/6,596 - Step 6: Final answer
x = 14,793.04
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.