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Finding the Third Proportional to 6,168.66 and 9,022.64

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Solution

The third proportional to 6,168.66 and 9,022.64 is: 13,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.66 : 9,022.64 = 9,022.64 : x
  2. Step 2: Convert to fraction form
    6,168.66/9,022.64 = 9,022.64/x
  3. Step 3: Cross multiply
    6,168.66x = 9,022.64 × 9,022.64
  4. Step 4: Simplify right side
    6,168.66x = 81,408,043.85
  5. Step 5: Solve for x
    x = 81,408,043.85/6,168.66
  6. Step 6: Final answer
    x = 13,197.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.