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Finding the Third Proportional to 23,139 and 49,626

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Solution

The third proportional to 23,139 and 49,626 is: 106,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139 : 49,626 = 49,626 : x
  2. Step 2: Convert to fraction form
    23,139/49,626 = 49,626/x
  3. Step 3: Cross multiply
    23,139x = 49,626 × 49,626
  4. Step 4: Simplify right side
    23,139x = 2,462,739,876
  5. Step 5: Solve for x
    x = 2,462,739,876/23,139
  6. Step 6: Final answer
    x = 106,432.42

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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.