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Finding the Third Proportional to 24,145 and 50,912

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Solution

The third proportional to 24,145 and 50,912 is: 107,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145 : 50,912 = 50,912 : x
  2. Step 2: Convert to fraction form
    24,145/50,912 = 50,912/x
  3. Step 3: Cross multiply
    24,145x = 50,912 × 50,912
  4. Step 4: Simplify right side
    24,145x = 2,592,031,744
  5. Step 5: Solve for x
    x = 2,592,031,744/24,145
  6. Step 6: Final answer
    x = 107,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.