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Finding the Third Proportional to 23,568 and 50,509

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Solution

The third proportional to 23,568 and 50,509 is: 108,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568 : 50,509 = 50,509 : x
  2. Step 2: Convert to fraction form
    23,568/50,509 = 50,509/x
  3. Step 3: Cross multiply
    23,568x = 50,509 × 50,509
  4. Step 4: Simplify right side
    23,568x = 2,551,159,081
  5. Step 5: Solve for x
    x = 2,551,159,081/23,568
  6. Step 6: Final answer
    x = 108,246.74

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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.