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Finding the Third Proportional to 23,755 and 34,510

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Solution

The third proportional to 23,755 and 34,510 is: 50,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755 : 34,510 = 34,510 : x
  2. Step 2: Convert to fraction form
    23,755/34,510 = 34,510/x
  3. Step 3: Cross multiply
    23,755x = 34,510 × 34,510
  4. Step 4: Simplify right side
    23,755x = 1,190,940,100
  5. Step 5: Solve for x
    x = 1,190,940,100/23,755
  6. Step 6: Final answer
    x = 50,134.29

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.