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Finding the Third Proportional to 16,164 and 17,892

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Solution

The third proportional to 16,164 and 17,892 is: 19,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164 : 17,892 = 17,892 : x
  2. Step 2: Convert to fraction form
    16,164/17,892 = 17,892/x
  3. Step 3: Cross multiply
    16,164x = 17,892 × 17,892
  4. Step 4: Simplify right side
    16,164x = 320,123,664
  5. Step 5: Solve for x
    x = 320,123,664/16,164
  6. Step 6: Final answer
    x = 19,804.73

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.