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Finding the Third Proportional to 6,568.88 and 8,850.38

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Solution

The third proportional to 6,568.88 and 8,850.38 is: 11,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.88 : 8,850.38 = 8,850.38 : x
  2. Step 2: Convert to fraction form
    6,568.88/8,850.38 = 8,850.38/x
  3. Step 3: Cross multiply
    6,568.88x = 8,850.38 × 8,850.38
  4. Step 4: Simplify right side
    6,568.88x = 78,329,137.64
  5. Step 5: Solve for x
    x = 78,329,137.64/6,568.88
  6. Step 6: Final answer
    x = 11,924.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.