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Finding the Third Proportional to 13,144 and 19,777

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Solution

The third proportional to 13,144 and 19,777 is: 29,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144 : 19,777 = 19,777 : x
  2. Step 2: Convert to fraction form
    13,144/19,777 = 19,777/x
  3. Step 3: Cross multiply
    13,144x = 19,777 × 19,777
  4. Step 4: Simplify right side
    13,144x = 391,129,729
  5. Step 5: Solve for x
    x = 391,129,729/13,144
  6. Step 6: Final answer
    x = 29,757.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.