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Finding the Third Proportional to 12,933 and 27,481.50

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Solution

The third proportional to 12,933 and 27,481.50 is: 58,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933 : 27,481.50 = 27,481.50 : x
  2. Step 2: Convert to fraction form
    12,933/27,481.50 = 27,481.50/x
  3. Step 3: Cross multiply
    12,933x = 27,481.50 × 27,481.50
  4. Step 4: Simplify right side
    12,933x = 755,232,842.25
  5. Step 5: Solve for x
    x = 755,232,842.25/12,933
  6. Step 6: Final answer
    x = 58,395.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.