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Finding the Third Proportional to 33,448 and 44,614

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Solution

The third proportional to 33,448 and 44,614 is: 59,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 44,614 = 44,614 : x
  2. Step 2: Convert to fraction form
    33,448/44,614 = 44,614/x
  3. Step 3: Cross multiply
    33,448x = 44,614 × 44,614
  4. Step 4: Simplify right side
    33,448x = 1,990,408,996
  5. Step 5: Solve for x
    x = 1,990,408,996/33,448
  6. Step 6: Final answer
    x = 59,507.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.