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Finding the Third Proportional to 5,651.50 and 11,462

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Solution

The third proportional to 5,651.50 and 11,462 is: 23,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.50 : 11,462 = 11,462 : x
  2. Step 2: Convert to fraction form
    5,651.50/11,462 = 11,462/x
  3. Step 3: Cross multiply
    5,651.50x = 11,462 × 11,462
  4. Step 4: Simplify right side
    5,651.50x = 131,377,444
  5. Step 5: Solve for x
    x = 131,377,444/5,651.50
  6. Step 6: Final answer
    x = 23,246.47

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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.