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Finding the Third Proportional to 24,732 and 51,512

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Solution

The third proportional to 24,732 and 51,512 is: 107,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732 : 51,512 = 51,512 : x
  2. Step 2: Convert to fraction form
    24,732/51,512 = 51,512/x
  3. Step 3: Cross multiply
    24,732x = 51,512 × 51,512
  4. Step 4: Simplify right side
    24,732x = 2,653,486,144
  5. Step 5: Solve for x
    x = 2,653,486,144/24,732
  6. Step 6: Final answer
    x = 107,289.59

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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.