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Finding the Third Proportional to 22,874.25 and 33,035.25

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Solution

The third proportional to 22,874.25 and 33,035.25 is: 47,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.25 : 33,035.25 = 33,035.25 : x
  2. Step 2: Convert to fraction form
    22,874.25/33,035.25 = 33,035.25/x
  3. Step 3: Cross multiply
    22,874.25x = 33,035.25 × 33,035.25
  4. Step 4: Simplify right side
    22,874.25x = 1,091,327,742.56
  5. Step 5: Solve for x
    x = 1,091,327,742.56/22,874.25
  6. Step 6: Final answer
    x = 47,709.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.