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Finding the Third Proportional to 24,561 and 52,401

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Solution

The third proportional to 24,561 and 52,401 is: 111,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561 : 52,401 = 52,401 : x
  2. Step 2: Convert to fraction form
    24,561/52,401 = 52,401/x
  3. Step 3: Cross multiply
    24,561x = 52,401 × 52,401
  4. Step 4: Simplify right side
    24,561x = 2,745,864,801
  5. Step 5: Solve for x
    x = 2,745,864,801/24,561
  6. Step 6: Final answer
    x = 111,797.76

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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.