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Finding the Third Proportional to 23,235 and 50,917

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Solution

The third proportional to 23,235 and 50,917 is: 111,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235 : 50,917 = 50,917 : x
  2. Step 2: Convert to fraction form
    23,235/50,917 = 50,917/x
  3. Step 3: Cross multiply
    23,235x = 50,917 × 50,917
  4. Step 4: Simplify right side
    23,235x = 2,592,540,889
  5. Step 5: Solve for x
    x = 2,592,540,889/23,235
  6. Step 6: Final answer
    x = 111,579.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.