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Finding the Third Proportional to 24,795 and 50,910

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Solution

The third proportional to 24,795 and 50,910 is: 104,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,795 : 50,910 = 50,910 : x
  2. Step 2: Convert to fraction form
    24,795/50,910 = 50,910/x
  3. Step 3: Cross multiply
    24,795x = 50,910 × 50,910
  4. Step 4: Simplify right side
    24,795x = 2,591,828,100
  5. Step 5: Solve for x
    x = 2,591,828,100/24,795
  6. Step 6: Final answer
    x = 104,530.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.