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Finding the Third Proportional to 23,574.38 and 35,361.56

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Solution

The third proportional to 23,574.38 and 35,361.56 is: 53,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.38 : 35,361.56 = 35,361.56 : x
  2. Step 2: Convert to fraction form
    23,574.38/35,361.56 = 35,361.56/x
  3. Step 3: Cross multiply
    23,574.38x = 35,361.56 × 35,361.56
  4. Step 4: Simplify right side
    23,574.38x = 1,250,440,102.44
  5. Step 5: Solve for x
    x = 1,250,440,102.44/23,574.38
  6. Step 6: Final answer
    x = 53,042.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.