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Finding the Third Proportional to 23,404 and 50,749

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Solution

The third proportional to 23,404 and 50,749 is: 110,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404 : 50,749 = 50,749 : x
  2. Step 2: Convert to fraction form
    23,404/50,749 = 50,749/x
  3. Step 3: Cross multiply
    23,404x = 50,749 × 50,749
  4. Step 4: Simplify right side
    23,404x = 2,575,461,001
  5. Step 5: Solve for x
    x = 2,575,461,001/23,404
  6. Step 6: Final answer
    x = 110,043.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.