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Finding the Third Proportional to 23,421 and 50,761

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Solution

The third proportional to 23,421 and 50,761 is: 110,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421 : 50,761 = 50,761 : x
  2. Step 2: Convert to fraction form
    23,421/50,761 = 50,761/x
  3. Step 3: Cross multiply
    23,421x = 50,761 × 50,761
  4. Step 4: Simplify right side
    23,421x = 2,576,679,121
  5. Step 5: Solve for x
    x = 2,576,679,121/23,421
  6. Step 6: Final answer
    x = 110,015.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.