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Finding the Third Proportional to 23,877 and 51,039

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Solution

The third proportional to 23,877 and 51,039 is: 109,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877 : 51,039 = 51,039 : x
  2. Step 2: Convert to fraction form
    23,877/51,039 = 51,039/x
  3. Step 3: Cross multiply
    23,877x = 51,039 × 51,039
  4. Step 4: Simplify right side
    23,877x = 2,604,979,521
  5. Step 5: Solve for x
    x = 2,604,979,521/23,877
  6. Step 6: Final answer
    x = 109,099.95

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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.