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Finding the Third Proportional to 23,906.81 and 52,359.75

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Solution

The third proportional to 23,906.81 and 52,359.75 is: 114,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.81 : 52,359.75 = 52,359.75 : x
  2. Step 2: Convert to fraction form
    23,906.81/52,359.75 = 52,359.75/x
  3. Step 3: Cross multiply
    23,906.81x = 52,359.75 × 52,359.75
  4. Step 4: Simplify right side
    23,906.81x = 2,741,543,420.06
  5. Step 5: Solve for x
    x = 2,741,543,420.06/23,906.81
  6. Step 6: Final answer
    x = 114,676.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.