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Finding the Third Proportional to 4,178.41 and 9,176.83

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Solution

The third proportional to 4,178.41 and 9,176.83 is: 20,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.41 : 9,176.83 = 9,176.83 : x
  2. Step 2: Convert to fraction form
    4,178.41/9,176.83 = 9,176.83/x
  3. Step 3: Cross multiply
    4,178.41x = 9,176.83 × 9,176.83
  4. Step 4: Simplify right side
    4,178.41x = 84,214,174.44
  5. Step 5: Solve for x
    x = 84,214,174.44/4,178.41
  6. Step 6: Final answer
    x = 20,154.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.