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Finding the Third Proportional to 23,083.10 and 49,856.77

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Solution

The third proportional to 23,083.10 and 49,856.77 is: 107,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.10 : 49,856.77 = 49,856.77 : x
  2. Step 2: Convert to fraction form
    23,083.10/49,856.77 = 49,856.77/x
  3. Step 3: Cross multiply
    23,083.10x = 49,856.77 × 49,856.77
  4. Step 4: Simplify right side
    23,083.10x = 2,485,697,078.59
  5. Step 5: Solve for x
    x = 2,485,697,078.59/23,083.10
  6. Step 6: Final answer
    x = 107,684.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.