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Finding the Third Proportional to 6,165.07 and 13,367.64

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Solution

The third proportional to 6,165.07 and 13,367.64 is: 28,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.07 : 13,367.64 = 13,367.64 : x
  2. Step 2: Convert to fraction form
    6,165.07/13,367.64 = 13,367.64/x
  3. Step 3: Cross multiply
    6,165.07x = 13,367.64 × 13,367.64
  4. Step 4: Simplify right side
    6,165.07x = 178,693,711.44
  5. Step 5: Solve for x
    x = 178,693,711.44/6,165.07
  6. Step 6: Final answer
    x = 28,984.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.