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Finding the Third Proportional to 6,775.88 and 8,993.25

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Solution

The third proportional to 6,775.88 and 8,993.25 is: 11,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.88 : 8,993.25 = 8,993.25 : x
  2. Step 2: Convert to fraction form
    6,775.88/8,993.25 = 8,993.25/x
  3. Step 3: Cross multiply
    6,775.88x = 8,993.25 × 8,993.25
  4. Step 4: Simplify right side
    6,775.88x = 80,878,545.56
  5. Step 5: Solve for x
    x = 80,878,545.56/6,775.88
  6. Step 6: Final answer
    x = 11,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.