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Finding the Third Proportional to 5,744 and 8,447

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Solution

The third proportional to 5,744 and 8,447 is: 12,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 8,447 = 8,447 : x
  2. Step 2: Convert to fraction form
    5,744/8,447 = 8,447/x
  3. Step 3: Cross multiply
    5,744x = 8,447 × 8,447
  4. Step 4: Simplify right side
    5,744x = 71,351,809
  5. Step 5: Solve for x
    x = 71,351,809/5,744
  6. Step 6: Final answer
    x = 12,421.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.