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Finding the Third Proportional to 23,115.38 and 33,395.63

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Solution

The third proportional to 23,115.38 and 33,395.63 is: 48,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.38 : 33,395.63 = 33,395.63 : x
  2. Step 2: Convert to fraction form
    23,115.38/33,395.63 = 33,395.63/x
  3. Step 3: Cross multiply
    23,115.38x = 33,395.63 × 33,395.63
  4. Step 4: Simplify right side
    23,115.38x = 1,115,267,769.14
  5. Step 5: Solve for x
    x = 1,115,267,769.14/23,115.38
  6. Step 6: Final answer
    x = 48,247.88

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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.