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Finding the Third Proportional to 26,996 and 64,018

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Solution

The third proportional to 26,996 and 64,018 is: 151,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,996 : 64,018 = 64,018 : x
  2. Step 2: Convert to fraction form
    26,996/64,018 = 64,018/x
  3. Step 3: Cross multiply
    26,996x = 64,018 × 64,018
  4. Step 4: Simplify right side
    26,996x = 4,098,304,324
  5. Step 5: Solve for x
    x = 4,098,304,324/26,996
  6. Step 6: Final answer
    x = 151,811.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.