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Finding the Third Proportional to 23,766.54 and 49,822.59

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Solution

The third proportional to 23,766.54 and 49,822.59 is: 104,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766.54 : 49,822.59 = 49,822.59 : x
  2. Step 2: Convert to fraction form
    23,766.54/49,822.59 = 49,822.59/x
  3. Step 3: Cross multiply
    23,766.54x = 49,822.59 × 49,822.59
  4. Step 4: Simplify right side
    23,766.54x = 2,482,290,847.98
  5. Step 5: Solve for x
    x = 2,482,290,847.98/23,766.54
  6. Step 6: Final answer
    x = 104,444.78

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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.