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Finding the Third Proportional to 8,934.05 and 18,171.84

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Solution

The third proportional to 8,934.05 and 18,171.84 is: 36,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.05 : 18,171.84 = 18,171.84 : x
  2. Step 2: Convert to fraction form
    8,934.05/18,171.84 = 18,171.84/x
  3. Step 3: Cross multiply
    8,934.05x = 18,171.84 × 18,171.84
  4. Step 4: Simplify right side
    8,934.05x = 330,215,905.27
  5. Step 5: Solve for x
    x = 330,215,905.27/8,934.05
  6. Step 6: Final answer
    x = 36,961.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.