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Finding the Third Proportional to 9,027 and 13,444

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Solution

The third proportional to 9,027 and 13,444 is: 20,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027 : 13,444 = 13,444 : x
  2. Step 2: Convert to fraction form
    9,027/13,444 = 13,444/x
  3. Step 3: Cross multiply
    9,027x = 13,444 × 13,444
  4. Step 4: Simplify right side
    9,027x = 180,741,136
  5. Step 5: Solve for x
    x = 180,741,136/9,027
  6. Step 6: Final answer
    x = 20,022.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.