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Finding the Third Proportional to 22,923.75 and 50,221.50

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Solution

The third proportional to 22,923.75 and 50,221.50 is: 110,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923.75 : 50,221.50 = 50,221.50 : x
  2. Step 2: Convert to fraction form
    22,923.75/50,221.50 = 50,221.50/x
  3. Step 3: Cross multiply
    22,923.75x = 50,221.50 × 50,221.50
  4. Step 4: Simplify right side
    22,923.75x = 2,522,199,062.25
  5. Step 5: Solve for x
    x = 2,522,199,062.25/22,923.75
  6. Step 6: Final answer
    x = 110,025.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.