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Finding the Third Proportional to 18,607.50 and 43,141.50

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Solution

The third proportional to 18,607.50 and 43,141.50 is: 100,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,607.50 : 43,141.50 = 43,141.50 : x
  2. Step 2: Convert to fraction form
    18,607.50/43,141.50 = 43,141.50/x
  3. Step 3: Cross multiply
    18,607.50x = 43,141.50 × 43,141.50
  4. Step 4: Simplify right side
    18,607.50x = 1,861,189,022.25
  5. Step 5: Solve for x
    x = 1,861,189,022.25/18,607.50
  6. Step 6: Final answer
    x = 100,023.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.