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Finding the Third Proportional to 23,815.13 and 50,907.38

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Solution

The third proportional to 23,815.13 and 50,907.38 is: 108,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.13 : 50,907.38 = 50,907.38 : x
  2. Step 2: Convert to fraction form
    23,815.13/50,907.38 = 50,907.38/x
  3. Step 3: Cross multiply
    23,815.13x = 50,907.38 × 50,907.38
  4. Step 4: Simplify right side
    23,815.13x = 2,591,560,829.39
  5. Step 5: Solve for x
    x = 2,591,560,829.39/23,815.13
  6. Step 6: Final answer
    x = 108,819.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.