Finding the Third Proportional to 8,175.75 and 17,646.75
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Solution
The third proportional to 8,175.75 and 17,646.75 is: 38,089.20
Step by Step Solution
- Step 1: Write the proportion equation
8,175.75 : 17,646.75 = 17,646.75 : x - Step 2: Convert to fraction form
8,175.75/17,646.75 = 17,646.75/x - Step 3: Cross multiply
8,175.75x = 17,646.75 × 17,646.75 - Step 4: Simplify right side
8,175.75x = 311,407,785.56 - Step 5: Solve for x
x = 311,407,785.56/8,175.75 - Step 6: Final answer
x = 38,089.20
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.