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Finding the Third Proportional to 23,928 and 50,471

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Solution

The third proportional to 23,928 and 50,471 is: 106,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 50,471 = 50,471 : x
  2. Step 2: Convert to fraction form
    23,928/50,471 = 50,471/x
  3. Step 3: Cross multiply
    23,928x = 50,471 × 50,471
  4. Step 4: Simplify right side
    23,928x = 2,547,321,841
  5. Step 5: Solve for x
    x = 2,547,321,841/23,928
  6. Step 6: Final answer
    x = 106,457.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.