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Finding the Third Proportional to 16,249.50 and 25,854.75

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Solution

The third proportional to 16,249.50 and 25,854.75 is: 41,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.50 : 25,854.75 = 25,854.75 : x
  2. Step 2: Convert to fraction form
    16,249.50/25,854.75 = 25,854.75/x
  3. Step 3: Cross multiply
    16,249.50x = 25,854.75 × 25,854.75
  4. Step 4: Simplify right side
    16,249.50x = 668,468,097.56
  5. Step 5: Solve for x
    x = 668,468,097.56/16,249.50
  6. Step 6: Final answer
    x = 41,137.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.