Finding the Third Proportional to 10,972 and 17,670
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Solution
The third proportional to 10,972 and 17,670 is: 28,456.88
Step by Step Solution
- Step 1: Write the proportion equation
10,972 : 17,670 = 17,670 : x - Step 2: Convert to fraction form
10,972/17,670 = 17,670/x - Step 3: Cross multiply
10,972x = 17,670 × 17,670 - Step 4: Simplify right side
10,972x = 312,228,900 - Step 5: Solve for x
x = 312,228,900/10,972 - Step 6: Final answer
x = 28,456.88
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.