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Finding the Third Proportional to 23,627 and 50,899

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Solution

The third proportional to 23,627 and 50,899 is: 109,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627 : 50,899 = 50,899 : x
  2. Step 2: Convert to fraction form
    23,627/50,899 = 50,899/x
  3. Step 3: Cross multiply
    23,627x = 50,899 × 50,899
  4. Step 4: Simplify right side
    23,627x = 2,590,708,201
  5. Step 5: Solve for x
    x = 2,590,708,201/23,627
  6. Step 6: Final answer
    x = 109,650.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.