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Finding the Third Proportional to 7,286.06 and 16,103.06

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Solution

The third proportional to 7,286.06 and 16,103.06 is: 35,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.06 : 16,103.06 = 16,103.06 : x
  2. Step 2: Convert to fraction form
    7,286.06/16,103.06 = 16,103.06/x
  3. Step 3: Cross multiply
    7,286.06x = 16,103.06 × 16,103.06
  4. Step 4: Simplify right side
    7,286.06x = 259,308,621.88
  5. Step 5: Solve for x
    x = 259,308,621.88/7,286.06
  6. Step 6: Final answer
    x = 35,589.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.