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Finding the Third Proportional to 11,805.50 and 25,757.50

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Solution

The third proportional to 11,805.50 and 25,757.50 is: 56,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.50 : 25,757.50 = 25,757.50 : x
  2. Step 2: Convert to fraction form
    11,805.50/25,757.50 = 25,757.50/x
  3. Step 3: Cross multiply
    11,805.50x = 25,757.50 × 25,757.50
  4. Step 4: Simplify right side
    11,805.50x = 663,448,806.25
  5. Step 5: Solve for x
    x = 663,448,806.25/11,805.50
  6. Step 6: Final answer
    x = 56,198.28

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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.