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Finding the Third Proportional to 8,171.25 and 11,506.88

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Solution

The third proportional to 8,171.25 and 11,506.88 is: 16,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.25 : 11,506.88 = 11,506.88 : x
  2. Step 2: Convert to fraction form
    8,171.25/11,506.88 = 11,506.88/x
  3. Step 3: Cross multiply
    8,171.25x = 11,506.88 × 11,506.88
  4. Step 4: Simplify right side
    8,171.25x = 132,408,172.27
  5. Step 5: Solve for x
    x = 132,408,172.27/8,171.25
  6. Step 6: Final answer
    x = 16,204.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.