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Finding the Third Proportional to 17,082 and 39,530

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Solution

The third proportional to 17,082 and 39,530 is: 91,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082 : 39,530 = 39,530 : x
  2. Step 2: Convert to fraction form
    17,082/39,530 = 39,530/x
  3. Step 3: Cross multiply
    17,082x = 39,530 × 39,530
  4. Step 4: Simplify right side
    17,082x = 1,562,620,900
  5. Step 5: Solve for x
    x = 1,562,620,900/17,082
  6. Step 6: Final answer
    x = 91,477.63

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.