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Finding the Third Proportional to 21,286.13 and 45,361.69

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Solution

The third proportional to 21,286.13 and 45,361.69 is: 96,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.13 : 45,361.69 = 45,361.69 : x
  2. Step 2: Convert to fraction form
    21,286.13/45,361.69 = 45,361.69/x
  3. Step 3: Cross multiply
    21,286.13x = 45,361.69 × 45,361.69
  4. Step 4: Simplify right side
    21,286.13x = 2,057,682,692.85
  5. Step 5: Solve for x
    x = 2,057,682,692.85/21,286.13
  6. Step 6: Final answer
    x = 96,667.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.