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Finding the Third Proportional to 12,996 and 21,786.75

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Solution

The third proportional to 12,996 and 21,786.75 is: 36,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 21,786.75 = 21,786.75 : x
  2. Step 2: Convert to fraction form
    12,996/21,786.75 = 21,786.75/x
  3. Step 3: Cross multiply
    12,996x = 21,786.75 × 21,786.75
  4. Step 4: Simplify right side
    12,996x = 474,662,475.56
  5. Step 5: Solve for x
    x = 474,662,475.56/12,996
  6. Step 6: Final answer
    x = 36,523.74

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.