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Finding the Third Proportional to 8,367.56 and 12,956.44

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Solution

The third proportional to 8,367.56 and 12,956.44 is: 20,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.56 : 12,956.44 = 12,956.44 : x
  2. Step 2: Convert to fraction form
    8,367.56/12,956.44 = 12,956.44/x
  3. Step 3: Cross multiply
    8,367.56x = 12,956.44 × 12,956.44
  4. Step 4: Simplify right side
    8,367.56x = 167,869,272.69
  5. Step 5: Solve for x
    x = 167,869,272.69/8,367.56
  6. Step 6: Final answer
    x = 20,061.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.