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Finding the Third Proportional to 5,780 and 14,027

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Solution

The third proportional to 5,780 and 14,027 is: 34,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 14,027 = 14,027 : x
  2. Step 2: Convert to fraction form
    5,780/14,027 = 14,027/x
  3. Step 3: Cross multiply
    5,780x = 14,027 × 14,027
  4. Step 4: Simplify right side
    5,780x = 196,756,729
  5. Step 5: Solve for x
    x = 196,756,729/5,780
  6. Step 6: Final answer
    x = 34,040.96

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.