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Finding the Third Proportional to 4,099 and 5,757

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Solution

The third proportional to 4,099 and 5,757 is: 8,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099 : 5,757 = 5,757 : x
  2. Step 2: Convert to fraction form
    4,099/5,757 = 5,757/x
  3. Step 3: Cross multiply
    4,099x = 5,757 × 5,757
  4. Step 4: Simplify right side
    4,099x = 33,143,049
  5. Step 5: Solve for x
    x = 33,143,049/4,099
  6. Step 6: Final answer
    x = 8,085.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.