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Finding the Third Proportional to 23,825.81 and 50,923.69

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Solution

The third proportional to 23,825.81 and 50,923.69 is: 108,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.81 : 50,923.69 = 50,923.69 : x
  2. Step 2: Convert to fraction form
    23,825.81/50,923.69 = 50,923.69/x
  3. Step 3: Cross multiply
    23,825.81x = 50,923.69 × 50,923.69
  4. Step 4: Simplify right side
    23,825.81x = 2,593,221,948.60
  5. Step 5: Solve for x
    x = 2,593,221,948.60/23,825.81
  6. Step 6: Final answer
    x = 108,840.86

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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.