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Finding the Third Proportional to 17,176 and 25,804

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Solution

The third proportional to 17,176 and 25,804 is: 38,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 25,804 = 25,804 : x
  2. Step 2: Convert to fraction form
    17,176/25,804 = 25,804/x
  3. Step 3: Cross multiply
    17,176x = 25,804 × 25,804
  4. Step 4: Simplify right side
    17,176x = 665,846,416
  5. Step 5: Solve for x
    x = 665,846,416/17,176
  6. Step 6: Final answer
    x = 38,766.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.