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Finding the Third Proportional to 6,189.50 and 13,027

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Solution

The third proportional to 6,189.50 and 13,027 is: 27,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.50 : 13,027 = 13,027 : x
  2. Step 2: Convert to fraction form
    6,189.50/13,027 = 13,027/x
  3. Step 3: Cross multiply
    6,189.50x = 13,027 × 13,027
  4. Step 4: Simplify right side
    6,189.50x = 169,702,729
  5. Step 5: Solve for x
    x = 169,702,729/6,189.50
  6. Step 6: Final answer
    x = 27,417.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.