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Finding the Third Proportional to 18,404 and 39,723.50

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Solution

The third proportional to 18,404 and 39,723.50 is: 85,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,404 : 39,723.50 = 39,723.50 : x
  2. Step 2: Convert to fraction form
    18,404/39,723.50 = 39,723.50/x
  3. Step 3: Cross multiply
    18,404x = 39,723.50 × 39,723.50
  4. Step 4: Simplify right side
    18,404x = 1,577,956,452.25
  5. Step 5: Solve for x
    x = 1,577,956,452.25/18,404
  6. Step 6: Final answer
    x = 85,739.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.