Finding the Third Proportional to 10,827 and 17,226
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Solution
The third proportional to 10,827 and 17,226 is: 27,406.95
Step by Step Solution
- Step 1: Write the proportion equation
10,827 : 17,226 = 17,226 : x - Step 2: Convert to fraction form
10,827/17,226 = 17,226/x - Step 3: Cross multiply
10,827x = 17,226 × 17,226 - Step 4: Simplify right side
10,827x = 296,735,076 - Step 5: Solve for x
x = 296,735,076/10,827 - Step 6: Final answer
x = 27,406.95
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.