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Finding the Third Proportional to 24,291 and 50,760

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Solution

The third proportional to 24,291 and 50,760 is: 106,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291 : 50,760 = 50,760 : x
  2. Step 2: Convert to fraction form
    24,291/50,760 = 50,760/x
  3. Step 3: Cross multiply
    24,291x = 50,760 × 50,760
  4. Step 4: Simplify right side
    24,291x = 2,576,577,600
  5. Step 5: Solve for x
    x = 2,576,577,600/24,291
  6. Step 6: Final answer
    x = 106,071.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.