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Finding the Third Proportional to 2,723 and 5,605

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Solution

The third proportional to 2,723 and 5,605 is: 11,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723 : 5,605 = 5,605 : x
  2. Step 2: Convert to fraction form
    2,723/5,605 = 5,605/x
  3. Step 3: Cross multiply
    2,723x = 5,605 × 5,605
  4. Step 4: Simplify right side
    2,723x = 31,416,025
  5. Step 5: Solve for x
    x = 31,416,025/2,723
  6. Step 6: Final answer
    x = 11,537.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.