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Finding the Third Proportional to 8,183.25 and 12,801.75

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Solution

The third proportional to 8,183.25 and 12,801.75 is: 20,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.25 : 12,801.75 = 12,801.75 : x
  2. Step 2: Convert to fraction form
    8,183.25/12,801.75 = 12,801.75/x
  3. Step 3: Cross multiply
    8,183.25x = 12,801.75 × 12,801.75
  4. Step 4: Simplify right side
    8,183.25x = 163,884,803.06
  5. Step 5: Solve for x
    x = 163,884,803.06/8,183.25
  6. Step 6: Final answer
    x = 20,026.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.