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Finding the Third Proportional to 12,883.50 and 16,125.75

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Solution

The third proportional to 12,883.50 and 16,125.75 is: 20,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.50 : 16,125.75 = 16,125.75 : x
  2. Step 2: Convert to fraction form
    12,883.50/16,125.75 = 16,125.75/x
  3. Step 3: Cross multiply
    12,883.50x = 16,125.75 × 16,125.75
  4. Step 4: Simplify right side
    12,883.50x = 260,039,813.06
  5. Step 5: Solve for x
    x = 260,039,813.06/12,883.50
  6. Step 6: Final answer
    x = 20,183.94

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.