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Finding the Third Proportional to 23,500.13 and 33,245.44

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Solution

The third proportional to 23,500.13 and 33,245.44 is: 47,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.13 : 33,245.44 = 33,245.44 : x
  2. Step 2: Convert to fraction form
    23,500.13/33,245.44 = 33,245.44/x
  3. Step 3: Cross multiply
    23,500.13x = 33,245.44 × 33,245.44
  4. Step 4: Simplify right side
    23,500.13x = 1,105,259,114.57
  5. Step 5: Solve for x
    x = 1,105,259,114.57/23,500.13
  6. Step 6: Final answer
    x = 47,032.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.