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Finding the Third Proportional to 24,832 and 50,384

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Solution

The third proportional to 24,832 and 50,384 is: 102,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 50,384 = 50,384 : x
  2. Step 2: Convert to fraction form
    24,832/50,384 = 50,384/x
  3. Step 3: Cross multiply
    24,832x = 50,384 × 50,384
  4. Step 4: Simplify right side
    24,832x = 2,538,547,456
  5. Step 5: Solve for x
    x = 2,538,547,456/24,832
  6. Step 6: Final answer
    x = 102,228.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.