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Finding the Third Proportional to 7,395.75 and 8,198.44

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Solution

The third proportional to 7,395.75 and 8,198.44 is: 9,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.75 : 8,198.44 = 8,198.44 : x
  2. Step 2: Convert to fraction form
    7,395.75/8,198.44 = 8,198.44/x
  3. Step 3: Cross multiply
    7,395.75x = 8,198.44 × 8,198.44
  4. Step 4: Simplify right side
    7,395.75x = 67,214,377.44
  5. Step 5: Solve for x
    x = 67,214,377.44/7,395.75
  6. Step 6: Final answer
    x = 9,088.24

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.