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Finding the Third Proportional to 24,605 and 50,961

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Solution

The third proportional to 24,605 and 50,961 is: 105,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605 : 50,961 = 50,961 : x
  2. Step 2: Convert to fraction form
    24,605/50,961 = 50,961/x
  3. Step 3: Cross multiply
    24,605x = 50,961 × 50,961
  4. Step 4: Simplify right side
    24,605x = 2,597,023,521
  5. Step 5: Solve for x
    x = 2,597,023,521/24,605
  6. Step 6: Final answer
    x = 105,548.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.