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Finding the Third Proportional to 23,043 and 34,652

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Solution

The third proportional to 23,043 and 34,652 is: 52,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043 : 34,652 = 34,652 : x
  2. Step 2: Convert to fraction form
    23,043/34,652 = 34,652/x
  3. Step 3: Cross multiply
    23,043x = 34,652 × 34,652
  4. Step 4: Simplify right side
    23,043x = 1,200,761,104
  5. Step 5: Solve for x
    x = 1,200,761,104/23,043
  6. Step 6: Final answer
    x = 52,109.58

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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.