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Finding the Third Proportional to 24,749.44 and 32,817.94

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Solution

The third proportional to 24,749.44 and 32,817.94 is: 43,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.44 : 32,817.94 = 32,817.94 : x
  2. Step 2: Convert to fraction form
    24,749.44/32,817.94 = 32,817.94/x
  3. Step 3: Cross multiply
    24,749.44x = 32,817.94 × 32,817.94
  4. Step 4: Simplify right side
    24,749.44x = 1,077,017,021.75
  5. Step 5: Solve for x
    x = 1,077,017,021.75/24,749.44
  6. Step 6: Final answer
    x = 43,516.83

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.