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Finding the Third Proportional to 23,529 and 50,469

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Solution

The third proportional to 23,529 and 50,469 is: 108,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 50,469 = 50,469 : x
  2. Step 2: Convert to fraction form
    23,529/50,469 = 50,469/x
  3. Step 3: Cross multiply
    23,529x = 50,469 × 50,469
  4. Step 4: Simplify right side
    23,529x = 2,547,119,961
  5. Step 5: Solve for x
    x = 2,547,119,961/23,529
  6. Step 6: Final answer
    x = 108,254.49

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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.