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Finding the Third Proportional to 11,835.50 and 25,789.63

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Solution

The third proportional to 11,835.50 and 25,789.63 is: 56,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.50 : 25,789.63 = 25,789.63 : x
  2. Step 2: Convert to fraction form
    11,835.50/25,789.63 = 25,789.63/x
  3. Step 3: Cross multiply
    11,835.50x = 25,789.63 × 25,789.63
  4. Step 4: Simplify right side
    11,835.50x = 665,104,757.64
  5. Step 5: Solve for x
    x = 665,104,757.64/11,835.50
  6. Step 6: Final answer
    x = 56,195.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.