Finding the Third Proportional to 10,972.50 and 17,016
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Solution
The third proportional to 10,972.50 and 17,016 is: 26,388.18
Step by Step Solution
- Step 1: Write the proportion equation
10,972.50 : 17,016 = 17,016 : x - Step 2: Convert to fraction form
10,972.50/17,016 = 17,016/x - Step 3: Cross multiply
10,972.50x = 17,016 × 17,016 - Step 4: Simplify right side
10,972.50x = 289,544,256 - Step 5: Solve for x
x = 289,544,256/10,972.50 - Step 6: Final answer
x = 26,388.18
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.