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Finding the Third Proportional to 4,183.88 and 9,176.34

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Solution

The third proportional to 4,183.88 and 9,176.34 is: 20,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.88 : 9,176.34 = 9,176.34 : x
  2. Step 2: Convert to fraction form
    4,183.88/9,176.34 = 9,176.34/x
  3. Step 3: Cross multiply
    4,183.88x = 9,176.34 × 9,176.34
  4. Step 4: Simplify right side
    4,183.88x = 84,205,284.62
  5. Step 5: Solve for x
    x = 84,205,284.62/4,183.88
  6. Step 6: Final answer
    x = 20,126.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.