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Finding the Third Proportional to 18,933 and 39,826.50

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Solution

The third proportional to 18,933 and 39,826.50 is: 83,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933 : 39,826.50 = 39,826.50 : x
  2. Step 2: Convert to fraction form
    18,933/39,826.50 = 39,826.50/x
  3. Step 3: Cross multiply
    18,933x = 39,826.50 × 39,826.50
  4. Step 4: Simplify right side
    18,933x = 1,586,150,102.25
  5. Step 5: Solve for x
    x = 1,586,150,102.25/18,933
  6. Step 6: Final answer
    x = 83,777.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.