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Finding the Third Proportional to 23,691 and 49,839

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Solution

The third proportional to 23,691 and 49,839 is: 104,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691 : 49,839 = 49,839 : x
  2. Step 2: Convert to fraction form
    23,691/49,839 = 49,839/x
  3. Step 3: Cross multiply
    23,691x = 49,839 × 49,839
  4. Step 4: Simplify right side
    23,691x = 2,483,925,921
  5. Step 5: Solve for x
    x = 2,483,925,921/23,691
  6. Step 6: Final answer
    x = 104,846.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.