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Finding the Third Proportional to 16,268 and 22,846

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Solution

The third proportional to 16,268 and 22,846 is: 32,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268 : 22,846 = 22,846 : x
  2. Step 2: Convert to fraction form
    16,268/22,846 = 22,846/x
  3. Step 3: Cross multiply
    16,268x = 22,846 × 22,846
  4. Step 4: Simplify right side
    16,268x = 521,939,716
  5. Step 5: Solve for x
    x = 521,939,716/16,268
  6. Step 6: Final answer
    x = 32,083.83

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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.