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Finding the Third Proportional to 23,407 and 50,107

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Solution

The third proportional to 23,407 and 50,107 is: 107,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407 : 50,107 = 50,107 : x
  2. Step 2: Convert to fraction form
    23,407/50,107 = 50,107/x
  3. Step 3: Cross multiply
    23,407x = 50,107 × 50,107
  4. Step 4: Simplify right side
    23,407x = 2,510,711,449
  5. Step 5: Solve for x
    x = 2,510,711,449/23,407
  6. Step 6: Final answer
    x = 107,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.