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Finding the Third Proportional to 23,395 and 50,102

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Solution

The third proportional to 23,395 and 50,102 is: 107,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,395 : 50,102 = 50,102 : x
  2. Step 2: Convert to fraction form
    23,395/50,102 = 50,102/x
  3. Step 3: Cross multiply
    23,395x = 50,102 × 50,102
  4. Step 4: Simplify right side
    23,395x = 2,510,210,404
  5. Step 5: Solve for x
    x = 2,510,210,404/23,395
  6. Step 6: Final answer
    x = 107,296.88

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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.