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Finding the Third Proportional to 11,264 and 16,892

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Solution

The third proportional to 11,264 and 16,892 is: 25,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264 : 16,892 = 16,892 : x
  2. Step 2: Convert to fraction form
    11,264/16,892 = 16,892/x
  3. Step 3: Cross multiply
    11,264x = 16,892 × 16,892
  4. Step 4: Simplify right side
    11,264x = 285,339,664
  5. Step 5: Solve for x
    x = 285,339,664/11,264
  6. Step 6: Final answer
    x = 25,332.00

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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.