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Finding the Third Proportional to 23,835.38 and 52,431.75

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Solution

The third proportional to 23,835.38 and 52,431.75 is: 115,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.38 : 52,431.75 = 52,431.75 : x
  2. Step 2: Convert to fraction form
    23,835.38/52,431.75 = 52,431.75/x
  3. Step 3: Cross multiply
    23,835.38x = 52,431.75 × 52,431.75
  4. Step 4: Simplify right side
    23,835.38x = 2,749,088,408.06
  5. Step 5: Solve for x
    x = 2,749,088,408.06/23,835.38
  6. Step 6: Final answer
    x = 115,336.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.