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Finding the Third Proportional to 23,508 and 50,298

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Solution

The third proportional to 23,508 and 50,298 is: 107,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508 : 50,298 = 50,298 : x
  2. Step 2: Convert to fraction form
    23,508/50,298 = 50,298/x
  3. Step 3: Cross multiply
    23,508x = 50,298 × 50,298
  4. Step 4: Simplify right side
    23,508x = 2,529,888,804
  5. Step 5: Solve for x
    x = 2,529,888,804/23,508
  6. Step 6: Final answer
    x = 107,618.21

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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.