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Finding the Third Proportional to 23,172.06 and 50,591.50

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Solution

The third proportional to 23,172.06 and 50,591.50 is: 110,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.06 : 50,591.50 = 50,591.50 : x
  2. Step 2: Convert to fraction form
    23,172.06/50,591.50 = 50,591.50/x
  3. Step 3: Cross multiply
    23,172.06x = 50,591.50 × 50,591.50
  4. Step 4: Simplify right side
    23,172.06x = 2,559,499,872.25
  5. Step 5: Solve for x
    x = 2,559,499,872.25/23,172.06
  6. Step 6: Final answer
    x = 110,456.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.