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Finding the Third Proportional to 19,996 and 26,105

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Solution

The third proportional to 19,996 and 26,105 is: 34,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996 : 26,105 = 26,105 : x
  2. Step 2: Convert to fraction form
    19,996/26,105 = 26,105/x
  3. Step 3: Cross multiply
    19,996x = 26,105 × 26,105
  4. Step 4: Simplify right side
    19,996x = 681,471,025
  5. Step 5: Solve for x
    x = 681,471,025/19,996
  6. Step 6: Final answer
    x = 34,080.37

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.