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Finding the Third Proportional to 23,126.25 and 49,761.75

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Solution

The third proportional to 23,126.25 and 49,761.75 is: 107,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,126.25 : 49,761.75 = 49,761.75 : x
  2. Step 2: Convert to fraction form
    23,126.25/49,761.75 = 49,761.75/x
  3. Step 3: Cross multiply
    23,126.25x = 49,761.75 × 49,761.75
  4. Step 4: Simplify right side
    23,126.25x = 2,476,231,763.06
  5. Step 5: Solve for x
    x = 2,476,231,763.06/23,126.25
  6. Step 6: Final answer
    x = 107,074.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.