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Finding the Third Proportional to 24,561 and 49,851

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Solution

The third proportional to 24,561 and 49,851 is: 101,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561 : 49,851 = 49,851 : x
  2. Step 2: Convert to fraction form
    24,561/49,851 = 49,851/x
  3. Step 3: Cross multiply
    24,561x = 49,851 × 49,851
  4. Step 4: Simplify right side
    24,561x = 2,485,122,201
  5. Step 5: Solve for x
    x = 2,485,122,201/24,561
  6. Step 6: Final answer
    x = 101,181.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.