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Finding the Third Proportional to 2,605 and 5,757

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Solution

The third proportional to 2,605 and 5,757 is: 12,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605 : 5,757 = 5,757 : x
  2. Step 2: Convert to fraction form
    2,605/5,757 = 5,757/x
  3. Step 3: Cross multiply
    2,605x = 5,757 × 5,757
  4. Step 4: Simplify right side
    2,605x = 33,143,049
  5. Step 5: Solve for x
    x = 33,143,049/2,605
  6. Step 6: Final answer
    x = 12,722.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.