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Finding the Third Proportional to 23,934 and 52,692

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Solution

The third proportional to 23,934 and 52,692 is: 116,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934 : 52,692 = 52,692 : x
  2. Step 2: Convert to fraction form
    23,934/52,692 = 52,692/x
  3. Step 3: Cross multiply
    23,934x = 52,692 × 52,692
  4. Step 4: Simplify right side
    23,934x = 2,776,446,864
  5. Step 5: Solve for x
    x = 2,776,446,864/23,934
  6. Step 6: Final answer
    x = 116,004.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.