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Finding the Third Proportional to 13,005 and 27,958.50

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Solution

The third proportional to 13,005 and 27,958.50 is: 60,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 27,958.50 = 27,958.50 : x
  2. Step 2: Convert to fraction form
    13,005/27,958.50 = 27,958.50/x
  3. Step 3: Cross multiply
    13,005x = 27,958.50 × 27,958.50
  4. Step 4: Simplify right side
    13,005x = 781,677,722.25
  5. Step 5: Solve for x
    x = 781,677,722.25/13,005
  6. Step 6: Final answer
    x = 60,105.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.