Finding the Third Proportional to 4,117.50 and 6,276.75
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Solution
The third proportional to 4,117.50 and 6,276.75 is: 9,568.33
Step by Step Solution
- Step 1: Write the proportion equation
4,117.50 : 6,276.75 = 6,276.75 : x - Step 2: Convert to fraction form
4,117.50/6,276.75 = 6,276.75/x - Step 3: Cross multiply
4,117.50x = 6,276.75 × 6,276.75 - Step 4: Simplify right side
4,117.50x = 39,397,590.56 - Step 5: Solve for x
x = 39,397,590.56/4,117.50 - Step 6: Final answer
x = 9,568.33
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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.