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Finding the Third Proportional to 12,849 and 28,027.50

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Solution

The third proportional to 12,849 and 28,027.50 is: 61,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849 : 28,027.50 = 28,027.50 : x
  2. Step 2: Convert to fraction form
    12,849/28,027.50 = 28,027.50/x
  3. Step 3: Cross multiply
    12,849x = 28,027.50 × 28,027.50
  4. Step 4: Simplify right side
    12,849x = 785,540,756.25
  5. Step 5: Solve for x
    x = 785,540,756.25/12,849
  6. Step 6: Final answer
    x = 61,136.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.