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Finding the Third Proportional to 23,189 and 34,892

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Solution

The third proportional to 23,189 and 34,892 is: 52,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189 : 34,892 = 34,892 : x
  2. Step 2: Convert to fraction form
    23,189/34,892 = 34,892/x
  3. Step 3: Cross multiply
    23,189x = 34,892 × 34,892
  4. Step 4: Simplify right side
    23,189x = 1,217,451,664
  5. Step 5: Solve for x
    x = 1,217,451,664/23,189
  6. Step 6: Final answer
    x = 52,501.26

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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.