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Finding the Third Proportional to 17,826 and 24,922

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Solution

The third proportional to 17,826 and 24,922 is: 34,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826 : 24,922 = 24,922 : x
  2. Step 2: Convert to fraction form
    17,826/24,922 = 24,922/x
  3. Step 3: Cross multiply
    17,826x = 24,922 × 24,922
  4. Step 4: Simplify right side
    17,826x = 621,106,084
  5. Step 5: Solve for x
    x = 621,106,084/17,826
  6. Step 6: Final answer
    x = 34,842.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.