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Finding the Third Proportional to 24,736 and 51,520

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Solution

The third proportional to 24,736 and 51,520 is: 107,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736 : 51,520 = 51,520 : x
  2. Step 2: Convert to fraction form
    24,736/51,520 = 51,520/x
  3. Step 3: Cross multiply
    24,736x = 51,520 × 51,520
  4. Step 4: Simplify right side
    24,736x = 2,654,310,400
  5. Step 5: Solve for x
    x = 2,654,310,400/24,736
  6. Step 6: Final answer
    x = 107,305.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.