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Finding the Third Proportional to 5,723 and 11,617

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Solution

The third proportional to 5,723 and 11,617 is: 23,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 11,617 = 11,617 : x
  2. Step 2: Convert to fraction form
    5,723/11,617 = 11,617/x
  3. Step 3: Cross multiply
    5,723x = 11,617 × 11,617
  4. Step 4: Simplify right side
    5,723x = 134,954,689
  5. Step 5: Solve for x
    x = 134,954,689/5,723
  6. Step 6: Final answer
    x = 23,581.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.