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Finding the Third Proportional to 5,757.75 and 8,106.75

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Solution

The third proportional to 5,757.75 and 8,106.75 is: 11,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 8,106.75 = 8,106.75 : x
  2. Step 2: Convert to fraction form
    5,757.75/8,106.75 = 8,106.75/x
  3. Step 3: Cross multiply
    5,757.75x = 8,106.75 × 8,106.75
  4. Step 4: Simplify right side
    5,757.75x = 65,719,395.56
  5. Step 5: Solve for x
    x = 65,719,395.56/5,757.75
  6. Step 6: Final answer
    x = 11,414.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.