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Finding the Third Proportional to 22,983.75 and 50,483.25

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Solution

The third proportional to 22,983.75 and 50,483.25 is: 110,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 50,483.25 = 50,483.25 : x
  2. Step 2: Convert to fraction form
    22,983.75/50,483.25 = 50,483.25/x
  3. Step 3: Cross multiply
    22,983.75x = 50,483.25 × 50,483.25
  4. Step 4: Simplify right side
    22,983.75x = 2,548,558,530.56
  5. Step 5: Solve for x
    x = 2,548,558,530.56/22,983.75
  6. Step 6: Final answer
    x = 110,885.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.