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Finding the Third Proportional to 2,605 and 5,483

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Solution

The third proportional to 2,605 and 5,483 is: 11,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605 : 5,483 = 5,483 : x
  2. Step 2: Convert to fraction form
    2,605/5,483 = 5,483/x
  3. Step 3: Cross multiply
    2,605x = 5,483 × 5,483
  4. Step 4: Simplify right side
    2,605x = 30,063,289
  5. Step 5: Solve for x
    x = 30,063,289/2,605
  6. Step 6: Final answer
    x = 11,540.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.